Problem: Write an article based on this summary: Practice talking to other people. Talk to a family member. Keep a journal. Do extracurricular activities.

Answer: You don't have to wait around for the perfect chance to say something to your crush.  You could always ask a random person that you find cute for a stick of gum. Talking to people you're attracted to will improve your comfort level when talking to someone you really have a crush on. Being at home can be a hard time when you're heels deep in a crush's spell. Your parents can offer valuable advice because they went through what you're going through. If you're not comfortable talking to your folks about it then ask a cool uncle or a sibling you're open with. Sharing what you are going through help elevate pressure you feel when you're near your crush. Writing out your feelings and ideas can be a great therapy.  Whether you write memories, letters, or your personal thoughts, you are practicing an expressive process that strengthens your physiological growth and health. It is important to face your emotions by yourself.  It is a good time to reflect on how this crush is only a person.  Write whatever feels right. Don't concern yourself with typos or grammar, this is for you. If you have friends or a younger sibling around, you might consider keeping this in a private location. Staying after school for clubs or sports could be a great way of distancing yourself from your crush.  Playing sports will especially help by pushing yourself both mentally and physically.  Staying too stagnant will not help you act normally around a crush.  Think of exerting yourself as a way of releasing your frustrations. This is a good way of dealing with nervousness on a larger scope. Physical activity improves your mental state in your everyday life.


Problem: Write an article based on this summary: Purchase detectors. Consider optional features. Find the right spots. Understand the display and sound settings. Install the detectors. Replace the batteries.

Answer: You can buy a CO detector at any home improvement store or major retailer. They vary greatly in price but cost as little as $15. There are a number of features you should consider when making your purchase.  A CO detector should be able to emit at least an 85-decibel sound that can be heard within 10 feet. If you or someone in your house has hearing problems, you may want one that has a louder horn.  Some detectors come in sets and can be connected with each other. When one goes off, the others will as well. This is ideal for a larger domicile.  Check the lifespan of the sensor as they can wear away. Your unit’s sensor filament should last at least five years.  Some detectors offer a digital display that will give you an exact readout of the CO measured in the air. This feature is not necessary but may help you detect harmful accumulations more quickly. For a small apartment, you can use only a single detector but if you have more than 3 rooms, you’ll want multiple detectors. You’ll want to place them strategically in areas where CO accumulates.  CO is lighter than air so it will rise toward the ceiling. Place the detectors on the wall as close to the ceiling as possible.  If your home has multiple stories, you should have at least one on each level. Place one detector near each sleeping area.  Don’t place them in the kitchen, garage, or near a fireplace. These rooms will experience short-term spikes in CO that aren’t harmful and will set the alarms off unnecessarily. The display and sound settings vary greater from brand to brand and model to model so you will need read the manual thoroughly. Most digital displays will provide a number that tells you the amount of CO in Parts-per Million (PPM) and some include a timer to specify the length of the testing time. Many will include a volume adjuster, a backlighting option, and auto power-off feature. The unit should come with instructions to install. Make sure you have the necessary tools while you are out shopping for the detector so you don’t need to make multiple trips.  Make sure you have a sturdy ladder to place them up high on the wall. You’ll probably also need a power drill. The screws will likely come with the unit. Some units are hardwired or plugged in but most run on batteries. The unit should emit a noise when the batteries are low. Make sure you also have at least one spare pack of the necessary battery type at all times.


Problem: Write an article based on this summary: Create a blank trigonometry table. Fill in the values for the sine column. Place the sine column entries in the cosine column in reverse order. Divide your sine values by the cosine values to fill the tangent column. Reverse the entries in the sine column to find the cosecant of an angle. Place the entries from the cosine column in reverse order in the secant column. Fill the cotangent column by reversing the values from the tangent column.

Answer:
Draw your table to have 6 rows and 6 columns. In the first column, write down the trigonometric ratios (sine, cosine, tangent, cosecant, secant, and cotangent). In the first column, write down the angles commonly used in trigonometry (0°, 30°, 45°, 60°, 90°). Leave the other entries in the table blank. Sine, cosine, and tangent are the more commonly used trigonometric ratios, although you should also learn cosecant, secant, and cotangent to have an in-depth knowledge of the trigonometric table. Use the expression √x/2 to fill in the blank entries in this column. The x value should be that of the angle listed on the left-hand side of the table. Use this formula to calculate the sine values for 0°, 30°, 45°, 60°, and 90° and write those values in your table.  For example, for the first entry in the sine column (sin 0°), set x to equal 0 and plug it into the expression √x/2. This will give you √0/2, which can be simplified to 0/2 and then finally to 0. Plugging the angles into the expression √x/2 in this way, the remaining entries in the sine column are √1/2 (which can be simplified to ½, since the square root of 1 is 1), √2/2 (which can be simplified to 1/√2, since √2/2 is also equal to (1 x √2)/(√2 x √2) and in this fraction, the “√2” in the numerator and a “√2” in the denominator cancel each other out, leaving 1/√2), √3/2, and √4/2 (which can be simplified to 1, since the square root of 4 is 2 and 2/2 = 1). Once the sine column is filled, it’ll be a lot easier to fill in the remaining columns. Mathematically speaking, sin x° = cos (90-x)° for any x value. Thus, to fill in the cosine column, simply take the entries in the sine column and place them in reverse order in the cosine column. Fill in the cosine column such that the value for the sine of 90° is also used as the value for the cosine of 0°, the value for the sine of 60° is used as the value for the cosine of 30°, and so on.  For example, since 1 is the value placed in the final entry in the sine column (sine of 90°), this value will be placed in the first entry for the cosine column (cosine of 0°). Once filled, the values in the cosine column should be 1, √3/2, 1/√2, ½, and 0. Simply speaking, tangent = sine/cosine. Thus, for every angle, take its sine value and divide it by its cosine value to calculate the corresponding tangent value.  To take 30° as an example: tan 30° = sin 30° / cos 30° = (√1/2) / (√3/2) = 1/√3. The entries of your tangent column should be 0, 1/√3, 1, √3, and undefined for 90°. The tangent of 90° is undefined because sin 90° / cos 90° = 1/0 and division by 0 is always undefined. Starting from the bottom row of the sine column, take the sine values you’ve already calculated and place them in reverse order in the cosecant column. This works because the cosecant of an angle is equal to the inverse of the sine of that angle. For instance, use the sine of 90° to fill in the entry for the cosecant of 0°, the sine of 60° for the cosecant of 30°, and so on. Starting from the cosine of 90°, enter the values from the cosine column in the secant column, such that value for the cosine of 90° is used as the value for the secant of 0°, the value for the cosine of 60° is used as the value for the secant of , and so on. This is mathematically valid because the inverse of the cosine of an angle is equal to that angle’s secant. Take the value for the tangent of 90° and place it in the entry space for the cotangent of 0° in your cotangent column. Do the same for the tangent of 60° and the cotangent of 30°, the tangent of 45° and the cotangent of 45°, and so on, until you’ve filled in the cotangent column by inverting the order of entries in the tangent column.  This works because the cotangent of an angle is equal to the inversion of the tangent of an angle. You can also find the cotangent of an angle by dividing its cosine by its sine.