Trigonometry

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

1. Angles in anti-clockwise direction are taken as angles.
2. literally means measurement of sides and angles of a triangle.
3. The value of sin A or cos A never exceeds .
4. The value of

(1 - \cos^{2} θ) c o s e c^{2} θ

is .
5. If

\sin θ = \frac{4}{5}

, then the value of

\cot θ + c o s e c θ

is .
6. The value of

\sin^{2} θ + \frac{1}{1 + \tan^{2} θ}

is .
7. The value of

9 \cot^{2} θ - 9 c o s e c^{2} θ

is .
8. If

\sin θ = \frac{1}{3}

, then the value of

2 \cot^{2} θ + 2

is .
9. If

\cos θ = \frac{3}{4}

, then the value of

9 \tan^{2} θ + 9

is .
10. The value of

\sin A \cos (90 ° - A) + \cos A \sin (90 ° - A)

is .

Trigonometry

Gap-fill exercise