Simplify expressions using trigonometric identities

Practice Questions

Pre-Calculus › Simplify expressions using trigonometric identities

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1

Simplify $3sin^2\theta-3$ .

2

Which of the following is equivalent to the expression:

$\frac{1-sin^2(x)}{csc^2(x)}$

3

Find the exact value of each expression below without the aid of a calculator.

$sin165^{\circ}$

4

Simplify:

$\frac{2}{csc(2t)}$

5

Determine which of the following is equivalent to .

6

Simplify:

7

Solve over the domain to $2\pi$ .

$cos(x)cos\frac{\pi}{4} + sin(x)sin\frac{\pi}4{} = -1$

8

Simplify:

9

Let , , and be real numbers. Given that:

What is the value of in function of ?

10

Using the fact that,

.

What is the result of the following sum:

$sin(1)+sin(2)+sin(3)\cdots +sin(359)$

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