Trigonometric Functions I - Challenging

Question 1: Find the coordinates of the point on the circle which was obtained by rotating of point

P (1; 0)

by the angle of

- 90 °

.

A

P 1 (- 1; 0)

B

P 1 (0; 0)

C

P 1 (0; 1)

D

P 1 (0; - 1)

Question 2: Solve the expression

2 {sin}^{2} \frac{π}{4} + {cos}^{2} \frac{π}{6}

.

A

1 \frac{3}{4}

B

0

C

1.5

D

1

Question 3: Simplify the expression:

\sin α - |\sin α|

, if

α

is located in the third coordinate quarter.

A

1

B

2 s i n α

C

0

D

s i n α

Question 4: Compare two expressions

\sin 60 °

and

\sin \frac{7 π}{6}

.

A

\sin 60 ° < \sin \frac{7 π}{6}

B

\sin 60 ° = \sin \frac{7 π}{6}

C

\sin 60 ° > \sin \frac{7 π}{6}

D

\sin 60 ° \geq \sin \frac{7 π}{6}

Question 5: Find the period (

T

) of the function

y = t g \frac{6 x}{7}

.

A

2 π

B

π

C

\frac{7 π}{6}

D

\frac{6 π}{7}

Test: Trigonometric Functions I - Challenging