Worksheet: Using Cofunction Identities to Find θ

In this worksheet, we will practice using the cofunction identities to find the angle θ.

Q1:

Find in degrees given where is an acute angle.

• A
• B
• C
• D

Q2:

Find in degrees given where is an acute angle.

• A
• B
• C
• D

Q3:

Find the value of given .

Q4:

Simplify .

• A
• B
• C
• D

Q5:

Which of the following is the general solution of the equation ?

• A or , where
• B or , where
• C or , where
• D or , where

Q6:

is a trapezium where , , , and . Find .

• A
• B
• C
• D

Q7:

Simplify .

• A
• B
• C
• D

Q8:

Simplify .

• A
• B
• C
• D

Q9:

Simplify .

• A
• B
• C
• D

Q10:

Which of the following is equivalent to ?

• A
• B
• C
• D

Q11:

Simplify .

• A
• B
• C
• D

Q12:

is a square where . Find the exact value of .

• A
• B
• C
• D

Q13:

Find the value of .

Q14:

Simplify .

• A
• B
• C
• D

Q15:

Simplify .

• A
• B
• C
• D

Q16:

Simplify .

• A
• B
• C
• D

Q17:

Simplify .

• A
• B
• C
• D

Q18:

Simplify .

• A
• B
• C
• D

Q19:

Simplify .

• A
• B
• C
• D

Q20:

Simplify .

• A
• B
• C
• D

Q21:

Simplify .

• A
• B
• C
• D

Q22:

Find the value of .

Q23:

Find the value of given .

Q24:

Find the value of given .

Q25:

Find in degrees given where is an acute angle.

• A
• B
• C
• D