If sin theta + csc theta = 2,then sin^2 theta | vedclass

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

Question

(C) Given that $\sin 	heta + \csc 	heta = 2$.Squaring both sides of the equation:$(\sin 	heta + \csc 	heta)^2 = 2^2$$\sin^2 	heta + \csc^2 	heta

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) Given that $\sin 	heta + \csc 	heta = 2$.Squaring both sides of the equation:$(\sin 	heta + \csc 	heta)^2 = 2^2$$\sin^2 	heta + \csc^2 	heta + 2 \sin 	heta \csc 	heta = 4$Since $\csc 	heta = \frac{1}{\sin 	heta}$,we have $\sin 	heta \csc 	heta = 1$.Substituting this value into the equation:$\sin^2 	heta + \csc^2 	heta + 2(1) = 4$$\sin^2 	heta + \csc^2 	heta + 2 = 4$$\sin^2 	heta + \csc^2 	heta = 4 - 2 = 2$.

If $\sin \theta + \csc \theta = 2$,then $\sin^2 \theta + \csc^2 \theta = $

Similar Questions

The maximum value of $3 \cos \theta + 5 \sin \left( \theta - \frac{\pi}{6} \right)$ for any real value of $\theta$ is

The maximum value of $\cos \alpha_1 \cdot \cos \alpha_2 \cdots \cos \alpha_n$ under the restrictions $0 \le \alpha_1, \alpha_2, \dots, \alpha_n \le \frac{\pi}{2}$ and $\cot \alpha_1 \cdot \cot \alpha_2 \cdots \cot \alpha_n = 1$ is

The value of $\cos \frac{\pi}{10} \cos \frac{2\pi}{10} \cos \frac{4\pi}{10} \cos \frac{8\pi}{10} \cos \frac{16\pi}{10}$ is:

The value of $\cos 24^{\circ} + \cos 55^{\circ} + \cos 125^{\circ} + \cos 204^{\circ} + \cos 300^{\circ}$ is

Which of the following functions have the maximum value unity?

Vedclass Test Series

Exam Paper Generator

Online Exam Module