જો sin theta - cos theta = 0 હોય,તો (sin^4 th | vedclass

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

Question

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

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

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

જો $\sin \theta - \cos \theta = 0$ હોય,તો $(\sin^4 \theta + \cos^4 \theta)$ નું મૂલ્ય શોધો.

Similar Questions

સાબિત કરો કે,
$\frac{\tan A}{1+\sec A} + \frac{\tan A}{\sec A-1} = 2 \operatorname{cosec} A$

જો $\cot \theta = \frac{a}{b}$ હોય,તો $\frac{\cos \theta - \sin \theta}{\cos \theta + \sin \theta} = \ldots$

$\sec (90^\circ - \theta) = \dots$

$\sin 48^{\circ} \sec 42^{\circ} + \cos 48^{\circ} \operatorname{cosec} 42^{\circ} = \ldots \ldots \ldots \ldots$

જો $\sec \theta = 1$ હોય,તો $\theta = \ldots \ldots \ldots$ ($^{\circ}$ માં)

Vedclass Test Series

Exam Paper Generator

Online Exam Module