(D) Given,$\sin \theta + \operatorname{cosec} \theta = 4$. Squaring both sides,we get: $(\sin \theta + \operatorname{cosec} \theta)^2 = 4^2$ $\sin^2 \

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

(D) Given,$\sin \theta + \operatorname{cosec} \theta = 4$. Squaring both sides,we get: $(\sin \theta + \operatorname{cosec} \theta)^2 = 4^2$ $\sin^2 \theta + \operatorname{cosec}^2 \theta + 2 \sin \theta \operatorname{cosec} \theta = 16$ Since $\sin \theta \operatorname{cosec} \theta = 1$,we have: $\sin^2 \theta + \operatorname{cosec}^2 \theta + 2(1) = 16$ $\sin^2 \theta + \operatorname{cosec}^2 \theta = 16 - 2 = 14$.

Class 11 Mathematics Trigonometrical Ratios, Functions and Identities Mix Examples-Trigonometrical Ratios, Functions and Identities

Easy

If $\sin \theta + \operatorname{cosec} \theta = 4$,then $\sin^2 \theta + \operatorname{cosec}^2 \theta = $

AP EAMCET 2022 All AP EAMCET

A
$12$
B
$18$
C
$16$
D
$14$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Trigonometrical Ratios, Functions and Identities

Subtopic

Mix Examples-Trigonometrical Ratios, Functions and Identities

Previous Year

AP EAMCET 2022 Paper All AP EAMCET years →

If $\cos x = \frac{2 \cos y - 1}{2 - \cos y}$ where $x, y \in (0, \pi)$,then $\tan(x/2) \cot(y/2) =$

View Solution

If $\sin A = n \sin (A + 2B)$,then $\tan (A + B) =$

MediumMHT CET 2025

View Solution

$\sum_{k=1}^3 \cos^2 \left((2k-1) \frac{\pi}{12}\right)$ is equal to

DifficultTS EAMCET 2002

View Solution

If $\cos \theta + \cos 7\theta + \cos 3\theta + \cos 5\theta = 0$,then $\theta$ is equal to:

Medium

View Solution

Let $X, Y, Z$ be respectively the areas of a regular pentagon,regular hexagon,and regular heptagon which are inscribed in a circle of radius $1$. Then,

KVPY 2017

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

If $\sin \theta + \operatorname{cosec} \theta = 4$,then $\sin^2 \theta + \operatorname{cosec}^2 \theta = $

Similar Questions

If $\cos x = \frac{2 \cos y - 1}{2 - \cos y}$ where $x, y \in (0, \pi)$,then $\tan(x/2) \cot(y/2) =$

If $\sin A = n \sin (A + 2B)$,then $\tan (A + B) =$

$\sum_{k=1}^3 \cos^2 \left((2k-1) \frac{\pi}{12}\right)$ is equal to

If $\cos \theta + \cos 7\theta + \cos 3\theta + \cos 5\theta = 0$,then $\theta$ is equal to:

Let $X, Y, Z$ be respectively the areas of a regular pentagon,regular hexagon,and regular heptagon which are inscribed in a circle of radius $1$. Then,

Vedclass Test Series

Exam Paper Generator

Online Exam Module