Trigonometry Problems Worksheet printable pdf download

Trigonometry Problems Worksheet

1. Are the functions

= sin and

= cos deﬁned for all angles

? Or are there values of

where they

do not exist? Explain.

2. Find all angles

between 0 and 2 for which tan is not deﬁned. Explain your answer.

3. Find the acute angle that has the same sin-, cos-, and tan-values as 380 ,

705 , 1082 ,

radians, and

26 radians.

4. Convert the following angles to radians: 45

27 , and 120 .

5. Convert the following angles (given in radians) to degrees: 3

, and

2 .

6. A triangle has a 90 angle. The side facing that angle has length 5. One of the other angles is 30 .

Find the third angle, the cos-value of the third angle (using special triangles), and the length of the side

adjacent to the third angle (using the previous two answers).

7. Find the angle

between 0 and 2 such that cot = cot

but

8. Find all values of

[0 2 ], such that:

(a) sin

(b) (cos + 1)(2 cos

1) = 0

1)(sin

2)(cos ) = 0

(d) sin

+ 2 sin

2 = 1

9. Prove the following:

(a) sin tan = sec (1

cos

)

(b) tan + cot = sec csc

+ 1

(d) sin + (sin )(cot

) = csc

Trigonometry Problems Worksheet