Trigonometric Functions I - Ambitious

Question 1: Compare these two angles expressed in radians:

\frac{π}{4}

and

1

.

A

\frac{π}{4} < 1

B

\frac{π}{4} = 1

C

\frac{π}{4} > 1

D

\frac{π}{4} \geq 1

Question 2: Solve the expression

s i n 0 + t g π - c o s 2 π

.

A

0

B

- 1

C

1

D

- \frac{1}{2}

Question 3: Which of these functions can be equal to

\frac{\sqrt{6}}{2}

:

\begin{array}{l} 1) s i n α \\ 2) c o s α \\ 3) t g α \end{array}

A

3)

B

1) and 2)

C

2)

D

1) and 3)

Question 4: Solve the expression

\sin^{2} (- 30 °) + \cos^{2} (- 60 °)

.

A

\frac{1}{2}

B

\frac{\sqrt{3} - 1}{2}

C

- \frac{1}{2}

D

\frac{1 + \sqrt{3}}{2}

Question 5: Compare two expressions:

s i n 20 °

and

s i n 21 °

.

A

s i n 20 ° < s i n 21 °

B

s i n 20 ° \leq s i n 21 °

C

s i n 20 ° > s i n 21 °

D

s i n 20 ° = s i n 21 °

Question 6: Compare two expressions:

t g (- 60 °)

and

t g (- 40 °)

.

A

t g (- 60 °) = t g (- 40 °)

B

t g (- 60 °) \geq t g (- 40 °)

C

t g (- 60 °) < t g (- 40 °)

D

t g (- 60 °) > t g (- 40 °)

Question 7: Simplify the expression

{(1 + c t g β)}^{2} + {(1 - c t g β)}^{2}

.

A

2 c t g β

B

\frac{2}{\sin^{2} β}

C

2

D

\frac{1}{\sin^{2} β}

Question 8: Simplify the expression

\sin (30 ° - α) + cos (60 ° - α)

.

A

\frac{c o s α - \sqrt{3} s i n α}{2}

B

c o s α

C

\frac{s i n α}{2}

D

\sqrt{3} s i n α

Question 9: Simplify the expression

t g (\frac{π}{2} + α) - c t g (π - α)

.

A

1

B

- c t g \frac{α}{2}

C

0

D

t g α

Question 10: Simplify the expression

\frac{1 - c o s 2 α}{\sin^{2} α}

.

A

- t g α

B

c t g α

C

1

D

2

Test: Trigonometric Functions I - Ambitious

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