Question:medium

The value of \( \frac{\sin^2 20^\circ + \cos^4 20^\circ}{\sin^4 20^\circ + \cos^2 20^\circ} \) is :

Show Hint

Try symmetry in trigonometric expressions—often numerator and denominator become identical.

Updated On: May 6, 2026

0
2
1
\( \frac{1}{2} \)

Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?

0

Top Questions on Trigonometry

If \( \tan^{-1}\left(\frac{1}{1+1\cdot2}\right) + \tan^{-1}\left(\frac{1}{1+2\cdot3}\right) + \ldots + \tan^{-1}\left(\frac{1}{1+n(n+1)}\right) = \tan^{-1}(x) \), then \( x \) is equal to:
- BITSAT - 2024
- Mathematics
- Trigonometry
View Solution
If \[ y = \tan^{-1} \left( \frac{1}{x^2 + x + 1} \right) + \tan^{-1} \left( \frac{1}{x^2 + 3x + 3} \right) + \tan^{-1} \left( \frac{1}{x^2 + 5x + 7} \right) + \cdots { (to n terms)} \], then \(\frac{dy}{dx}\) is:
- BITSAT - 2024
- Mathematics
- Trigonometry
View Solution
Let \(A\), \(B\) and \(C\) are the angles of a triangle and \(\tan \frac{A}{2} = 1/3\), \(\tan \frac{B}{2} = \frac{2}{3}\). Then, \(\tan \frac{C}{2}\) is equal to:
- BITSAT - 2024
- Mathematics
- Trigonometry
View Solution
The sum of all values of \(x\) in \([0, 2\pi]\), for which \(x + \sin(2x) + \sin(3x) + \sin(4x) = 0\) is equal to:
- BITSAT - 2024
- Mathematics
- Trigonometry
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

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

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

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

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

COMEDK UGET - 2025
Sequence and series