Question:medium

If \[ (\sin\theta+\cos\theta)^4+(\sin\theta-\cos\theta)^4 = p - q(\sin^4\theta+\cos^4\theta), \] then \(p+q=\)

Show Hint

Always reduce powers using standard symmetric identities first.

Updated On: Jun 22, 2026

6
4
10
8 \bigskip

Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?

0

Top Questions on Trigonometric Identities

If \( \tan^{-1} (\sqrt{\cos \alpha}) - \cot^{-1} (\cos \alpha) = x \), then what is \( \sin \alpha \)?
- MHT CET - 2025
- Mathematics
- Trigonometric Identities
View Solution
If \( \tan(\pi \cos x) = \cot(\pi \sin x) \), then what is \( \sin \left( \frac{\pi}{2} + x \right) \)?
- MHT CET - 2025
- Mathematics
- Trigonometric Identities
View Solution
Evaluate the integral: \[ \int \frac{1}{\sin^2 2x \cdot \cos^2 2x} \, dx \]
- MHT CET - 2025
- Mathematics
- Trigonometric Identities
View Solution
Given the equation: \[ 81 \sin^2 x + 81 \cos^2 x = 30 \] Find the value of \( x \).
- MHT CET - 2025
- Mathematics
- Trigonometric Identities
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in TS EAMCET exam

If \( f(x)=\tan \left(\frac{\pi}{\sqrt{x+1}+4}\right) \) is a real valued function then the range of \( f \) is

TS EAMCET - 2025
Algebra

The range of the real valued function \( f(x)=\sin ^{-1}\left(\sqrt{x^{2}+x+1}\right) \) is

TS EAMCET - 2025
Algebra

1+(1+3)+(1+3+5)+(1+3+5+7)+... to 10 terms =

TS EAMCET - 2025
Algebra

If the augmented matrix corresponding to the system of equations \( x+y-z=1 \), \( 2x+4y-z=0 \) and \( 3x+4y+5z=18 \) is transformed to \( \begin{bmatrix} 1 & a & 0 & -1 \\ 0 & 2 & 1 & b \\ 0 & 0 & c & 32 \end{bmatrix} \), then

TS EAMCET - 2025
Algebra