Value of Standard Angle(30,60,90)

Q. The value of $4co{t}^2{45}^{\circ }-se{c}^2{60}^{\circ }+si{n}^2{60}^{\circ }+co{s}^2{90}^{\circ }$ is

1. $\frac{1}{2}$
2. $\frac{3}{4}$
3. $\frac{5}{2}$
4. $0$

Q.

cos$1^{\circ }$ $\times$ cos$2^{\circ }$ $\times$ cos$3^{\circ }$ $\times$……..$\times$ cos ${180}^{\circ }$ is equal to ____.

1. 1

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

3. -1

4. 0

Q.

Find the value of $\frac{1-ta{n}^2{30}^{\circ }}{1+ta{n}^2{30}^{\circ }}.$

1. 0.5

2. 1

3. 2

4. 4

Q. Solve:
$2si{n}^2{30}^{\circ }-3co{s}^2{60}^{\circ }+co{t}^2{30}^{\circ }$ [2 MARKS]

Q.

For what value of A is sin A = cos A?

1. 0°

2. 30°

3. 90°

4. 45°

Q.

In $△ABC$, right angled at C, AC=4cm and $\angle BAC={60}^{\circ }$, find the length of side BC

1. $5\sqrt{3}$ cm

2. 3 cm

3. $\sqrt{3}$ cm

4. $4\sqrt{3}$ cm

Q. $\text{If}sin\theta =\frac{1}{2}$
and $\theta$ is acute,
$\text{then find the value of}(3cos\theta -4co{s}^3\theta ).$

1. $0$
2. $\frac{1}{2}$
3. $-1$
4. $\frac{1}{6}$

Q. At $\theta ={90}^{\circ }$ which of the following trigonometric ratios are not defined?

1. $cot\theta ,sin\theta$
2. $tan\theta ,cosec\theta$
3. $cot\theta ,tan\theta$
4. $tan\theta ,sec\theta$

Q. The value of $tan{60}^{\circ }cose{c}^2{45}^{\circ }+se{c}^2{60}^{\circ }tan{45}^{\circ }$ is

1. $4+2\sqrt{3}$
2. $4-2\sqrt{3}$
3. $1$
4. $-1$

Q.

cos 60° =

1. 0.5

2. $\sqrt{3}$

3. 2

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