Challenger App

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:

Convert Degree to Radian: 90
A triangle is to be drawn with one side 6cm and an angle on it is 30 what should be the minimum length of the side opposite to this angle?
If 4θ is an acute angle, and cot 4θ = tan (θ - 5°) , then what is the value of θ?
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
What is the value of cos[(180° – θ)/2].cos[(180° – 9θ)/2] + sin[(180° – 3θ)/2].sin[(180° – 13θ)/2]?