Range of Trigonometric Ratios from 0 to 90 Degrees

Q.

Arjun saw an equation written like $4sin2\theta =5$. Can you suggest Arjun whether the given equation is true or false?

1. False

2. True

Q.

The statement that sec $\theta$ = 2.375 is possible or not?

1. True

2. False

Q.

$cosA=\frac{5}{4}$ for some angle A. State True or False.

1. False

2. True

Q.

If sin (A + B) = 1, cos (A – B) = 1 and $0^{\circ }<A+B\le {90}^{\circ }$, find A and B.

1. ${60}^{\circ }$ , ${30}^{\circ }$

2. ${45}^{\circ }$ , ${45}^{\circ }$

3. ${30}^{\circ }$ , ${60}^{\circ }$

4. ${15}^{\circ }$ , ${75}^{\circ }$

Q.

The value of tan A is always less than 1.

1. True

2. False

Q.

sin A = $\frac{4}{3}$ for some angle A

1. True

2. False

Q.

$\sec A=(\frac{12}{5}$) for some value of angle $A$. Is it True/False?

1. False

2. True

Q.

The equation cos $\theta$ = -1.01 has infinitely solutions.

1. True

2. False

Q.

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

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

2. 1

3. 0

4. -1

Q. Choose all whose value is equal to zero.

1. $Cos{0}^{\circ }$
2. $Cos{90}^{\circ }$
3. $Sin{0}^{\circ }$
4. $Sin{90}^{\circ }$
5. $Tan{0}^{\circ }$
6. $Tan{90}^{\circ }$
7. $Cot{0}^{\circ }$
8. $Cot{90}^{\circ }$
9. 1cot 0∘