ExamVeda
Login
Home

sin4 + cos4 in terms of sin can be written as...

This question belongs to Arithmetic Ability Trigonometry
Trigonometry
?

sin4θ + cos4θ in terms of sinθ can be written as:

Answer & Solution
Correct Answer: Option D
(sin2θ + cos2θ)2 = 1
sin4θ + cos4θ + 2sin2θ.cos2θ = 1
sin4θ + cos4θ = 1 - 2sin2θ.cos2θ
sin4θ + cos4θ = 1 - 2sin2θ(1 - sin2θ)
sin4θ + cos4θ = 1 - 2sin2θ + 2sin4θ
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.
Keep Learning

Related Questions on Trigonometry

The minimum value of 2sin2θ + 3cos2θ is ?
A. 0 B. 3 C. 2 D. 1
Maximum value of (2sinθ + 3cosθ) is?
A. 2 B. $$\sqrt {13} $$ C. $$\sqrt {15} $$ D. 1
The equation $${\cos ^2}\theta $$  = $$\frac{{{{\left( {x + y} \right)}^2}}}{{4xy}}$$   is only possible when ?
A. x = -y B. x > y C. x = y D. x < y
The greatest value of sin4θ + cos4θ is?
A. 2 B. 3 C. $$\frac{1}{2}$$ D. 1
More Related Questions on Trigonometry