Challenger App

No.1 PSC Learning App

1M+ Downloads
image.png

A1

B4

C5

D3

Answer:

A. 1

Read Explanation:

1+tan2x=sec2x1+tan^2x=sec^2x

1+cot2x=cosec2x1+cot^2x=cosec^2x

1(cosec2x)2+tan2x(sec2x)2+1sec2x\frac{1}{(cosec^2x)^2}+\frac{tan^2x}{(sec^2x)^2}+\frac{1}{sec^2x}

sin4x+sin2x×cos4xcos2x+cos2xsin^4x+\frac{sin^2x \times cos^4x}{cos^2x}+cos^2x

sin2x(sin2x+cos2x)+cos2xsin^2x(sin^2x+cos^2x)+cos^2x ------------- (sin2x+cos2x=1)(sin^2x+cos^2x=1)

sin2x×1+cos2xsin^2x\times 1+cos^2x

11


Related Questions:

If xsin30°cos60° = sin45°cos45°, then the value of x is:
Find the radius of the circle in which a centrall angle of 60° intercepts an arc of length 37.4 cm (use ∏=22/7)
A circus artist climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the length of the pole, if the angle made by the rope with the ground level is 30° ?
What is the area of an equilateral traingle whose each side is 14 cm long?

If sinx=1237sinx=\frac{12}{37} , then what is the value of tan x?