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# Trigonometric Functions Worksheet

Trigonometric Functions Worksheet
• Page 1
1.
Find the value of sec $\theta$ and cot $\theta$ if tan $\theta$ = - $\frac{15}{8}$ & sin $\theta$ > 0.
 a. - $\frac{17}{8}$, $\frac{8}{15}$ b. $\frac{15}{17}$, - $\frac{8}{15}$ c. - $\frac{17}{8}$, - $\frac{8}{15}$ d. - $\frac{15}{17}$, $\frac{8}{15}$

#### Answer: (c)

Correct answer : (3)
2.
Find the exact coordinates of the point at which the terminal side of the angle intersects the unit circle.

 a. (- $\frac{\sqrt{2}}{2}$, - $\frac{\sqrt{2}}{2}$) b. (- $\frac{1}{2}$, - $\frac{\sqrt{3}}{2}$) c. ($\frac{\sqrt{2}}{2}$, $\frac{\sqrt{2}}{2}$) d. (- $\frac{\sqrt{3}}{2}$, - $\frac{1}{2}$)

#### Answer: (a)

Correct answer : (1)
3.
What are the exact coordinates of the point at which the terminal side of the angle intersects the unit circle?

 a. ($\frac{1}{\sqrt{2}}$, - $\frac{\sqrt{3}}{2}$) b. ($\frac{1}{2}$, - $\frac{\sqrt{3}}{2}$) c. (- $\frac{\sqrt{3}}{2}$, $\frac{1}{2}$) d. (- $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$)

#### Answer: (d)

Correct answer : (4)
4.
Find the exact coordinates of the point at which the terminal side of the angle intersects the unit circle.

 a. ($\frac{\sqrt{3}}{2}$, $\frac{1}{2}$) b. ($\frac{\sqrt{2}}{2}$, $\frac{\sqrt{2}}{2}$) c. ($\frac{1}{2}$, $\frac{1}{2}$) d. (- $\frac{\sqrt{2}}{2}$, - $\frac{\sqrt{2}}{2}$)

#### Answer: (b)

Correct answer : (2)
5.
Find the value of tan 240°.
 a. $\frac{\sqrt{3}}{3}$ b. 1 c. $\sqrt{3}$

#### Answer: (b)

Correct answer : (4)
6.
Find the value of sin 300°.
 a. - $\frac{\sqrt{3}}{2}$ b. - $\frac{1}{2}$ c. $\frac{1}{2}$ d. $\frac{\sqrt{3}}{2}$

#### Answer: (a)

Correct answer : (1)
7.
Find the value of tan 240°.
 a. $\sqrt{3}$ b. $\frac{\sqrt{3}}{3}$ c. 1

#### Answer: (a)

Correct answer : (1)
8.
Find the exact coordinates of the point at which the terminal side of the angle intersects the unit circle.

 a. ($\frac{1}{2}$, - $\frac{\sqrt{3}}{2}$) b. ($\frac{1}{2}$, $\frac{\sqrt{3}}{2}$) c. (- $\frac{1}{2}$, $\frac{\sqrt{3}}{2}$) d. (- $\frac{1}{2}$, - $\frac{\sqrt{3}}{2}$)

#### Answer: (d)

Correct answer : (4)
9.
Find the value of cos 52° 25′ rounded to four decimal places.
 a. 0.6122 b. 0.6099 c. -0.5483 d. -0.4

#### Answer: (b)

Correct answer : (2)
10.
A surveyor obtains an angle of 33° 49′ between two merging roads. Find the cosine of that angle.
 a. 0.8308 b. 1.7968 c. -1.3552 d. -0.4823

#### Answer: (a)

Correct answer : (1)

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