meredith48034
Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

1. Which of the following is equivalent?
sin Θ cos Θ sec Θ csc Θ
a. 1
b. csc^2Θ
c. tan^2Θ
d. sec^2Θ

2. Which of the following is equivalent?
1/(cot^2Θ) * sec Θ cos Θ
a. 1
b. sec^2Θ
c. tan^2Θ
d. csc^2Θ

3. Which of the following is equivalent?
tan Θ/ cot Θ
a. cos^3Θ
b. tan^2Θ
c. sec^2Θ
d. sin Θ

Sagot :

sqdancefan

9514 1404 393

Answer:

  A, C, B

Step-by-step explanation:

It is helpful to remember the trig identities ...

  sin = 1/csc

  cos = 1/sec

  tan = 1/cot

__

1. sin(θ)cos(θ)sec(θ)csc(θ) = (sin(θ)csc(θ))(cos(θ)sec(θ)) = (1)(1) = 1 . . . matches A

2. 1/cot²(θ)·sec(θ)cos(θ) = 1/(1/tan²(θ))·(1) = tan²(θ) . . . matches C

3. tan(θ)/cot(θ) = tan(θ)/(1/tan(θ)) = tan²(θ) . . . matches B

Answer:

1.sin Θ cos Θ sec Θ csc Θ

sinocoso×1/coso ×1/sino=1

1. is the required answer

2.1/(cot^2Θ) * sec Θ cos Θ

=sin²o/cos²o×1/coso×coso

=sin²o/cos²o

tan²o is answer

3.tan Θ/ cot Θ

sino/coso/(coso/sino)

sin²o/cos²o

tan²ois answer here o = theta

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.