If sin theta - cos theta = 0,then the value o | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Given,$\sin 	heta - \cos 	heta = 0$.$\sin 	heta = \cos 	heta \Rightarrow \frac{\sin 	heta}{\cos 	heta} = 1$.$	an 	heta = 1$ $[\because 	a

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

(A) Given,$\sin 	heta - \cos 	heta = 0$.$\sin 	heta = \cos 	heta \Rightarrow \frac{\sin 	heta}{\cos 	heta} = 1$.$	an 	heta = 1$ $[\because 	an 	heta = \frac{\sin 	heta}{\cos 	heta}$ and $	an 45^{\circ} = 1]$.$	an 	heta = 	an 45^{\circ}$.$	heta = 45^{\circ}$.Now,$\sin^4 	heta + \cos^4 	heta = \sin^4 45^{\circ} + \cos^4 45^{\circ}$.$= (\frac{1}{\sqrt{2}})^4 + (\frac{1}{\sqrt{2}})^4$ $[\because \sin 45^{\circ} = \cos 45^{\circ} = \frac{1}{\sqrt{2}}]$.$= \frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$.

If $\sin \theta - \cos \theta = 0$,then the value of $(\sin^4 \theta + \cos^4 \theta)$ is

Similar Questions

$2 \sin ^{2} 30^{\circ} \cot 30^{\circ}-3 \cos ^{2} 60^{\circ} \sec ^{2} 30^{\circ} = \dots$

If $\operatorname{cosec} \theta + \cot \theta = p$,then prove that $\cos \theta = \frac{p^{2} - 1}{p^{2} + 1}$.

If $\triangle ABC$ is right-angled at $C$,then the value of $\cos(A + B)$ is

$\sin (90^\circ - \theta) = \ldots \ldots \ldots$

The value of $\sin^{2} 30^{\circ} - \tan 45^{\circ} + \cos^{2} 60^{\circ} - \cot 90^{\circ}$ is ........

Vedclass Test Series

Exam Paper Generator

Online Exam Module