trig formulas please help.

Question

Answer 1

step 1:

9)

Reciprocal trigonometric identity

Double angle formula for tangent function is

Since

.

Step 2:

10)

Reciprocal trigonometric identity

Double angle formula for tangent function is

Since

Solution:

and .

Answer 2

Step 1:

11)

Reciprocal trigonometric identity .

Half angle formula for cosine function:

Step 2:

12)

Reciprocal trigonometric identity

Double angle formula for tangent function is

Since

Solution:

and

 

Answer 3

Step 1:

13)

Reciprocal trigonometric identity .

Double angle formula for tangent function is .

Substitute in

Step 2:

14)

Reciprocal trigonometric identity

Double angle formula for tangent function is

Substitute value in double angle expression.

Solution:

and .