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. The maximum value of

\sin θ

is .
2. The minimum value of

\cos θ

is .
3. The maximum value of

\frac{1}{c o s e c θ}

is .
4. The value of

\cos 1 ° \cos 2 ° \cos 3 ° . . . . . . . . . \cos 179 ° \cos 180 °

is .
5. The value of

\tan 10 ° \tan 15 ° \tan 75 ° \tan 80 °

is .
6. If

5 \tan θ - 4 = 0

, then the value of

\frac{5 \sin θ - 4 \cos θ}{5 \sin θ + 4 \cos θ}

is .
7. The value of

\frac{\cos^{3} 20 ° - \cos^{3} 70 °}{\sin^{3} 70 ° - \sin^{3} 20 °}

is .
8. An is considered as the figure obtained by rotating a given ray about its end-point.
9. The measure of an angle is the amount of from the initial side to the terminal side.
10. The value of

\frac{\tan 55 °}{\cot 35 °} + \cot 1 ° \cot 2 ° \cot 3 ° . . . . . . . \cot 90 °

is .

Trigonometry

Gap-fill exercise