Trigonometric Functions

Practice Questions

Trigonometry › Trigonometric Functions

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1

If you want to roughly approximate an EKG (pulse/heart beat diagram) of a person with a pulse of beats per minute using a sine function, what would be equal to in the following equation?

, where is measured in seconds

2

If sin 26o = t, find the value of cos 52o in terms of t.

3

If $sin^2x+2cos^2x+3(sin\ x)(cos\ x)=3$ , give the value of $cot\ x$ .

4

Rt_triangle_letters

In this figure, if angle $c=90^\circ$ , side , and side , what is the measure of angle ?

5

If $sin\ x+\frac{1}{sin\ x}=2$ , find the value of .

6

If $x=\frac{\pi}{6}$ , find the value of $\frac{1+cos\ x}{sin^3x}$ .

7

Find the value of the following expression:

$sin^2 (\frac{\pi}{15})+\frac{1}{sec^2(\frac{\pi}{15})}$

8

If $sec\ x=\frac{\sqrt{5}}{2}$ , give $tan\ x$ :

9

Give the value of $sec\ 26^{\circ} - csc\ 64^{\circ}$ .

10

Find $\frac{cos\ 65^{\circ}}{sin\ 25^{\circ}}$ .

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