First slide

Trigonometric Identities

Question

The greatest value of $\sin^{4} θ + \cos^{4} θ$ is

Easy

A

½
B

1
C

2
D

3

Solution

$\begin{matrix} \sin^{4} θ + \cos^{4} θ = {(\sin^{2} θ + \cos^{2} θ)}^{2} - 2 \sin^{2} {θcos}^{2} θ \\ = 1 - 2 \sin^{2} {θcos}^{2} θ \leq 1 \end{matrix}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App