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# Lesson 15 Homework 5.2 Answer Key

Ah, the joys of homework. That familiar friend that both students and teachers are all too familiar with. It can be frustrating at times, especially when you can’t quite seem to figure out the answers. Homework 5.2 in Lesson 15 is one such example. But what if we told you we had the answer key for it? Yes, we’ve got insights and tips to help you breeze through this lesson. If you’re a student looking for some assistance with your homework, you’ve come to the right place.

Blog Body:

In Lesson 15 Homework 5.2, you were tasked with answering 15 multiple-choice and true or false questions about trigonometric functions. Don’t worry; it’s not as complicated as it sounds. The questions centered around whether you could correctly identify the domain and range of various trig functions, as well as the ratios of the trig functions themselves. And we have all the answers right here for you.

First, let’s look at the multiple-choice questions. Questions 1 to 8 dealt with identifying the domain and range of the sine, cosine, and tangent functions. Remember the acronym SOHCAHTOA, right? That can get you started. Remember that the domain of each of these functions is all real numbers, and the range is between -1 and 1. Question 9 asked you to find the reciprocal function of tangent. The answer is cotangent. Question 10 is a good one to remember: the formula for the Pythagorean Theorem is a²+b²=c².

The true or false questions tackled in Questions 11 to 15 were a bit more challenging. But with a solid understanding of the concepts, you too can get the right answers. Question 11 asked if tangent is the reciprocal of sine. The answer is no; the reciprocal of sine is cosecant. Question 12 asked if the period of tangent is pi/4. The answer to this question is also false. The period of the tangent is pi. Questions 13 and 14 dealt with simplifying expressions with trig functions, and Question 15 asked if the range of the cosecant function is all real numbers. The answer is negative; it’s the set of all real numbers except for zero.

Conclusion:

And that’s it. Simple, right? The key to acing trigonometric functions is to practice a lot. Get a good understanding of the basics, such as the trigonometric ratios and iterations, and extend that into various trig functions. Trigonometry is a challenging subject, but with a bit of math and a lot of practice, you too can master it. Hopefully, this answer key and tips have been helpful to you. Happy studying!

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