SIMPLIFY COMPLEX FRACTIONS TRIGONOMETRY WORKSHEET

Simplify the following :

Problem 1 :

(tan θ + cot θ) / tan θ

Problem 2 :

cos²θ / (1 - sin θ)

Problem 3 :

(sec²θ - 1) / sec²θ

Problem 4 :

(tan θ + 1)²

Problem 5 :

sin² θ - 2 sin θ + 1

Problem 6 :

Problem 7 :

tan θ - (sec² θ / tan θ)

Problem 8 :

(tan θ / cot θ) + 1

Problem 9 :

csc θ sec θ - tan θ

Problem 10 :

sec²θ / (cot²θ + 1)

Answer Key

1) csc²θ

2) (1 + sin θ)

3) sin²θ

4) sec²θ + 2 tan θ

5) (sin θ - 1)²

6) 2 csc² θ

7) -cot θ

8) 2

9) cot θ

10) tan²θ