Trigonometric functions I - Normal

Question 1: Convert

25 °

to radians.

A

\frac{5 π}{36}

B

\frac{2 π}{3}

C

\frac{π}{2}

D

\frac{7 π}{36}

Question 2: Convert

\frac{11 π}{6}

to degrees.

A

330 °

B

225 °

C

270 °

D

45 °

Question 3: A radian measure of an

a r c (α)

in a circle equals

\frac{3 π}{4}

while radius

(R)

equals

5 c m

. What is the length

(l)

of this arc?

A

\frac{20 π}{3}

B

\frac{15 π}{4}

C

\frac{3 π}{20}

D

\frac{4 π}{15}

Question 4: Solve the expression

3 t g 180 ° - 4 c t g 90 °

.

A

0

B

3

C

- 7

D

- 1

Question 5: Solve the expression

\cos (- 60 °) + c t g (- 45 °)

.

A

0

B

- 1

C

1

D

- \frac{1}{2}

Question 6: Solve

\sin 660 °

.

A

- \frac{\sqrt{3}}{2}

B

\frac{\sqrt{3}}{2}

C

- \frac{1}{2}

D

\frac{1}{2}

Question 7: Which interval is decreasing for function

y = \cos x

.

A

B

C

D

Question 8: Which of this points the graph of function

y = t g x

crosses?

A

[\frac{π}{4}; 1]

B

[- \frac{π}{2}; 0]

C

[\frac{π}{2}; 0]

D

[- \frac{π}{4}; 1]

Question 9: Simplify the expression

1 - \sin^{2} α + c t g^{2} α \times \sin^{2} α

.

A

0

B

1

C

1 - \cos^{2} α

D

- 1

Question 10: Simplify the expression

\cos (α + β) + \cos (α - β)

.

A

2 \cos α \cos β

B

\sin α \sin β

C

\cos α \cos β

D

2 \sin α \sin β

Test: Trigonometric functions I - Normal

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