## Description

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## Explanation & Answer

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1) If csc Θ =

, find sin Θ.

A)

B)

C)

D)

2) If sin Θ = 1/4, find sin(-Θ)

A)

B)

C)

D)

3) f sin Θ =

and cos Θ =

, find tan Θ.

A) 3

B) ½

C) 1

D) 2

4) If csc Θ =

A)

, what is cot Θ?

B)

C)

D)

5) If tan Θ = 1/2, what is sec Θ?

A)

B)

C)

D)

6) If sec (

A)

)=

, what is csc Θ?

B)

C)

D)

7) Simplify the expression: sec^2(x)*cot(x)

A) sin(x)cos(x)

B) cos(x)

C) tan(x)

D) sec(x)csc(x)

8) Simplify the expression:

A) tan^2x

B) sec^2x

C) csc^2x

D) sin^2x

9) Which is a factor of: csc^2x - 11cscx + 10

A) csc(x) + 2

B) csc(x) - 2

C) csc(x) + 1

D) csc(x) – 1

10) Simplify

A) sin(x)

B) cos(x)

C) sec(x)

D) csc(x)

11) When verifying a trigonometric identity, which of the following guidelines

should you follow?

A) If you do not know what to do, do not try anything. It is better to not do

anything than it is to mess up.

B) Work on simplifying the less complicated side of the identity first.

C) Look for opportunities to use the fundamental identities.

D) Try to make the identity more complicated.

12) When verifying a trigonometric identity, which of the following guidelines

should not be followed?

A)

Work on simplifying the more complicated side of the identity first.

B) Set the identity equal to zero to solve for the variable.

C) Always try something. Even making an attempt that leads to a dead

end provides insight.

D) Look for opportunities to factor an expression, add fractions, square a

binomial, or create a monomial denominator.

13) Which of the following identities would be the best option to use to verify the

identity below?

14) What would be the best next step for verifying the identity?

15) Which of the following would be the best first step for verifying the identity

below?

16) What would be the best next step for verifying the identity below?

17) What would be the best next step for verifying the identity below?

18) What would be the best first step for verifying the identity below?

19) The following expression was simplified incorrectly. In which line was an

error first made when simplifying the identity shown below?

A. Line ...