Variation of Trigonometric Ratios from 0 to 90 Degrees

Q.

Evaluate $(\frac{sin49°}{cos41°}{)}^2+(\frac{cos41°}{sin49°}{)}^2$

1. 1

2. 2

3. 0

4. 4

Q.

If cosec 4A = sec 5A, find A, where 5A is an acute angle.

Q. Show that $\sin (-{420}^{\circ })\cos \left({390}^{\circ }\right)+\cos (-{660}^{\circ })\sin \left({330}^{\circ }\right)=-1$.

Q.

$\frac{sin{70}^{\circ }}{cos{20}^{\circ }}+\frac{sin{59}^{\circ }}{cos{31}^{\circ }}-8si{n}^2{30}^{\circ }=$____

1. 1

2. 2

3. -1

4. 0

Q.

Find the magnitude of angle A, if

2 sin A cos A - cos A -2 sin A + 1 = 0

1. 30° , 60°

2. 90° , 60°

3. 0° , 30°

4. 45° , 45°

Q.

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

1. True

2. False

Q.

If 4x > 25, then which of the following can't be the value of x?

1. 5

2. 9

3. 8

4. 7

Q.

If 4x > 25, then which of the following can't be the value of x?

1. 8

2. 7

3. 9

4. 5

Q.

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

1. True

2. False

Q.

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

1. True

2. False

Q.

The value of
$tan{48}^{\circ }.tan{23}^{\circ }.tan{42}^{\circ }.tan{67}^{\circ }$ =___

Q. Find the value of the following :
$\cos {45}^o\cos {60}^o-\sin {45}^o\sin {60}^o$

Q.

If $\sin 3\mathrm{A}=\cos \left(\mathrm{A}-26°\right)$, where $3\mathrm{A}$ is an acute angle, find the value of $A$.

Q. Evaluate $sin{45}^{\circ }+cos{45}^{\circ }?$