App Logo

No.1 PSC Learning App

1M+ Downloads
If xsin30°cos60° = sin45°cos45°, then the value of x is:

A2

B0

C1

D3

Answer:

A. 2

Read Explanation:

Solution:

Trigonometry value used:


image.png

Calculation:

x sin30° cos60° = sin45° cos45°

⇒ x (1/2) (1/2)  = (1/√2) (1/√2)

⇒ x/4 = 1/2

⇒ x = 4/2

⇒ x = 2

∴ Value of x is 2.


Related Questions:

Find (1 - cos² θ)(cot²θ + 1) - 1.

What is the Value of cos(50+A)sin(40A)cos40sec40\frac{\cos(50^\circ +A)-\sin(40^\circ -A)}{\cos40^\circ \sec40^\circ}

image.png

In a ΔABC right triangle at B. If SinC=6061SinC=\frac{60}{61} and CosA=6061CosA=\frac{60}{61}, then find the value of the expression tanA+cot(A+C)CotC+SecASinC\frac{tanA+cot(A+C)}{CotC+SecASinC}

Convert Degree to Radian: 30