Question:medium

If \( \sin x + \sin^2 x = 1 \) then \( \cos^8 x + 2\cos^6 x + \cos^4 x \) is equal to:

Show Hint

Whenever powers of \( \cos x \) appear, try expressing everything in terms of \( \sin x \) using identitiesThen use given equations to simplify quickly.

Updated On: May 6, 2026

\( 0 \)
\( 1 \)
\( -1 \)
\( 2 \)

Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?

Questions Asked in COMEDK UGET exam

The solution of \( (x+\log y)dy+ydx=0 \) when \( y(0)=1 \) is

COMEDK UGET - 2025
Differential equations

View Solution

The order of the differential equation \( \frac{d}{dz}\left[\left(\frac{dy}{dz}\right)^3\right]=0 \) is

COMEDK UGET - 2025
Order and Degree of Differential Equation

View Solution

Find the value of \( \displaystyle \lim_{h \to 0} \frac{(a+h)^2 \sin(a+h) - a^2 \sin a}{h} \)

COMEDK UGET - 2025
Derivatives

View Solution

\( 0.2 + 0.22 + 0.022 + \cdots \) up to \( n \) terms is equal to

COMEDK UGET - 2025
Sequence and series

View Solution

If \( \sin x + \sin^2 x = 1 \) then \( \cos^8 x + 2\cos^6 x + \cos^4 x \) is equal to:

Show Hint

The Correct Option is B

Solution and Explanation

Top Questions on Trigonometry

Questions Asked in COMEDK UGET exam