(C) We know that $\sin(B + C) = \sin B \cos C + \cos B \sin C$. Substituting this into the expression,we get $\text{cosec } A \sin(B + C)$. Since $A +

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

(C) We know that $\sin(B + C) = \sin B \cos C + \cos B \sin C$. Substituting this into the expression,we get $\text{cosec } A \sin(B + C)$. Since $A + B + C = \pi$ in any triangle,$B + C = \pi - A$. Therefore,$\sin(B + C) = \sin(\pi - A) = \sin A$. Substituting this back,we get $\text{cosec } A \cdot \sin A = \frac{1}{\sin A} \cdot \sin A = 1$.

Class 11 Mathematics Trigonometrical Equations Relation between sides and angles, Solutions of triangles

Easy

In $\Delta ABC,$ $\text{cosec } A(\sin B \cos C + \cos B \sin C) = $

A
$c/a$
B
$a/c$
C
$1$
D
$c/ab$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Trigonometrical Equations

Subtopic

Relation between sides and angles, Solutions of triangles

In $\triangle ABC$,if $a=3, b=4, c=6$,then $\frac{\cot \frac{A}{2}+\cot \frac{B}{2}+\cot \frac{C}{2}}{\cot A+\cot B+\cot C}=$

DifficultAP EAMCET 2018

View Solution

In any triangle $ABC$,$\frac{\tan \frac{A}{2} - \tan \frac{B}{2}}{\tan \frac{A}{2} + \tan \frac{B}{2}} = $

Medium

View Solution

In a $\triangle ABC$,if $a+c=5b$,then $\cot \frac{A}{2} \cot \frac{C}{2} =$

DifficultAP EAMCET 2025

View Solution

If,in a $\triangle ABC$,$\tan \frac{A}{2} = \frac{5}{6}$ and $\tan \frac{C}{2} = \frac{2}{5}$,then $a, b, c$ are such that :

DifficultTS EAMCET 2006

View Solution

In a $\triangle ABC$,if $a \cos A = b \cos B$,where $a \neq b$,then $\triangle ABC$ is

MediumAP EAMCET 2022

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

In $\Delta ABC,$ $\text{cosec } A(\sin B \cos C + \cos B \sin C) = $

Similar Questions

In $\triangle ABC$,if $a=3, b=4, c=6$,then $\frac{\cot \frac{A}{2}+\cot \frac{B}{2}+\cot \frac{C}{2}}{\cot A+\cot B+\cot C}=$

In any triangle $ABC$,$\frac{\tan \frac{A}{2} - \tan \frac{B}{2}}{\tan \frac{A}{2} + \tan \frac{B}{2}} = $

In a $\triangle ABC$,if $a+c=5b$,then $\cot \frac{A}{2} \cot \frac{C}{2} =$

If,in a $\triangle ABC$,$\tan \frac{A}{2} = \frac{5}{6}$ and $\tan \frac{C}{2} = \frac{2}{5}$,then $a, b, c$ are such that :

In a $\triangle ABC$,if $a \cos A = b \cos B$,where $a \neq b$,then $\triangle ABC$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module