Trigonometric Table

Q.

If $x\sin 45°{\cos }^{2}60°=\frac{({\tan }^{2}60°\cos ec30°)}{(sec45°co{t}^{2}30°)}$, then $x=$

1. $2$

2. $4$

3. $8$

4. $16$

Q.

Evaluate the value of $\tan 105°$

Q.

If $x=\cos 10°\cos 20°\cos 40°$, then the value of $x$ is:

1. $\frac{1}{4}\tan 10°$

2. $\frac{1}{8}\cot 10°$

3. $\frac{1}{8}\mathrm{cosec}10°$

4. $\frac{1}{8}\sec 10°$

Q.

Evaluate $\sin ,\cos ,\tan$ $-150°$ without a calculator.

Q.

Find the trigonometric ratios equivalent to $\mathrm{cosec}45°$

Q. In a right triangle ABC, right-angled at B, if tan A = 1, then what equals 2 sin A cos A?

1. 1

Q. Question 4 (v)
State whether the following are true or false. Justify your answer.
(v) cot A is not defined for $A=0^{\circ }$.

Q. Which of the following trigonometric ratios have the value equal to 0.5?

1. Sin 30°
2. Cos 30°
3. Sin 60°
4. Cos 60°

Q. Match the trigonometric ratios that have same value.

1. $cos90°$
2. $sin90°$
3. $cos60°$
4. $sin60°$

Q.

Evaluate :
${\left[\frac{\sin 35°}{\cos 55°}\right]}^2+{\left[\frac{\cos 55°}{\sin 35°}\right]}^2-2\cos 60°$

Q. $tan30°\times 2\times sin30°\times cos30°=$

1. 2
2. $\frac{1}{2}$
3. 1
4. $\frac{1}{4}$

Q. Match the terms having same value.

1. $tan{47}^{\circ }$
2. $cot{73}^{\circ }$
3. $sin{52}^{\circ }$
4. $cos{26}^{\circ }$

Q.

$\tan {\left(7\frac{1}{2}\right)}^{°}=?$

Q. $\text{The value of}Cosec30°\text{is equal to}Sec60°.$

1. True
2. False

Q. The value of $sin{60}^{\circ }$ is same as that of $cos{30}^{\circ }.$

1. False
2. True

Q. Question 5
$(\sqrt{3}+1)(3-cot{30}^{\circ })=ta{n}^3{60}^{\circ }-2sin{60}^{\circ }$

Q. The value of $sin{60}^{\circ }$ is same as that of $cos{30}^{\circ }.$

1. False
2. True

Q.

${\mathrm{cosec}}^2{45}^{\circ }{\sec }^2{30}^{\circ }\left({\sin }^3{30}^{\circ }+4{\cot }^2{45}^{\circ }-{\sec }^2{60}^{\circ }\right)=\frac{1}{3}.$

Q. $\frac{1}{\sqrt{3}}\times sin60°\times cos60°=\frac{1}{4}$

1. True
2. False

Q. Which of the following complementary trigonometric ratios are not defined at 0°?

1. $Cot\theta$
2. $Cos\theta$
3. $Cosec\theta$
4. $Sec\theta$

Q.

If $sinA=\frac{3}{4}$, then cos A = x and tan A = y.
Choose the correct options.

1. $x=\frac{\sqrt{7}}{4}$

2. $y=\frac{\sqrt{7}}{4}$

3. $y=\frac{3}{\sqrt{7}}$

4. $x=\frac{3}{\sqrt{7}}$

Q. If the value of $SinA=\frac{1}{\sqrt{2}}$, then find out the value of $tanA-cotA$.

1. \N

Q. $tan30°\times 2\times sin30°\times cos30°=$

1. 2
2. $\frac{1}{2}$
3. 1
4. $\frac{1}{4}$

Q. What is $tan{90}^o$?

1. 0
2. 1
3. $\frac{1}{\sqrt{3}}$
4. Not defined

Q.

Which of the following is correct for some $\theta$, such that $0^{\circ }$ $\le \theta <$ ${90}^{\circ }$

1. $\frac{1}{sec\theta }$ > 1

2. $\frac{1}{sec\theta }$ < 1

3. $\frac{1}{cos\theta }$ < 1

4. $sec\theta$ = 0

Q. Which of the following trigonometric ratios have the value equal to 0.5?

1. Sin 30°
2. Cos 30°
3. Sin 60°
4. Cos 60°

Q. Match the trigonometric ratios that have same value.

1. $cos90°$
2. $sin90°$
3. $cos60°$
4. $sin60°$