The value of ^4x+ ^4x-6 ^2 ^2 is: - Vidyadip

MCQ

The value of $\cos^4\text{x}+\sin^4\text{x}-6\cos^2\sin^2$ is:

A
$\cos2\text{x}$
B
$\sin2\text{x}$
✓
$\cos4\text{x}$
D
None of these

✓

Answer

Correct option: C.

$\cos4\text{x}$

$\cos^4\text{x}+\sin^4\text{x}-6\cos^2\text{x}\sin^2\text{x}=\cos^4\text{x}+\sin^4\text{x}-2\cos^2\text{x}\sin^2\text{x}-4\cos^2\text{x}\sin^2\text{x}$
$=(\cos^2\text{x}-\sin^2\text{x})^2-(2\sin\text{x}\cos\text{x})^2$
$=\cos^22\text{x}-\sin^22\text{x}$
$=\cos4\text{x}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

A coin is tossed twice. The probability of getting head both the times is

The equation of the line with slope $-\frac{3}{2}$ and which is concurrent with the lines $4x + 3y - 7 = 0$ and $8x + 5y - 1 = 0$ is:

$\lim _{x \rightarrow 0} \frac{e^{2 |\text { sin } x | \mid}-2|\sin x|-1}{x^2}$

The value of $ \cos ^{3}\left(\frac{\pi}{8}\right) \cdot \cos \left(\frac{3 \pi}{8}\right)+\sin ^{3}\left(\frac{\pi}{8}\right) \cdot \sin \left(\frac{3 \pi}{8}\right)$ is

The first three of four given numbers are in $G.P.$ and their last three are $A.P.$ with common difference $6.$ If first and fourth numbers are equal, then the first number is:

If $\text{f(x)}=\frac{2^{\text{x}}+2^{-\text{x}}}{2},$ then f(x + y)f(x - y) is equal to:

For all $n \in N, 2.4^{2n+1}+ 3^{3n+1}$ is divisible by:

If $a + b + c = 0,$ then the family of lines $3ax + by + 2c = 0$ pass through fixed point:

If $x-$intercept of a line is $4$ and its $y-$intercept is $2$ then find the equation of line:

The sum of the series $(1^2 + 1).1! + (2^2 + 1).2! + (3^2 + 1). 3! + ..... + (n^2 + 1). n!$ is :