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:

If cotθ = 4/3, the find the value of 5sinθ + 4cosθ – 3.
If cos 9a = sin ɑ and 9ɑ < 90° , then the value of tan 5ɑ is
Two angles are complementary. The larger angle is 6º less than thrice the measure of the smaller angle. What is the measure of the larger angle?

The least value of 8 cosec2θ + 25 sin2 θ is:

If tan x = cot(45° + 2x), then what is the value of x?