State whether the following is true or false. | vedclass

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

Question

(B) The statement $\sin (A+B) = \sin A + \sin B$ is false.To justify this,let us take $A = 30^{\circ}$ and $B = 60^{\circ}$.Left Hand Side $(LHS)$: $\

Vedclass · Accepted Answer

False

Vedclass · Answer

(B) The statement $\sin (A+B) = \sin A + \sin B$ is false.To justify this,let us take $A = 30^{\circ}$ and $B = 60^{\circ}$.Left Hand Side $(LHS)$: $\sin (A+B) = \sin (30^{\circ} + 60^{\circ}) = \sin 90^{\circ} = 1$.Right Hand Side $(RHS)$: $\sin A + \sin B = \sin 30^{\circ} + \sin 60^{\circ} = \frac{1}{2} + \frac{\sqrt{3}}{2} = \frac{1+\sqrt{3}}{2}$.Since $1 
eq \frac{1+\sqrt{3}}{2}$,the statement is false.

State whether the following is true or false. Justify your answer.
$\sin (A+B) = \sin A + \sin B$

Similar Questions

Evaluate the following:
$\frac{5 \cos ^{2} 60^{\circ}+4 \sec ^{2} 30^{\circ}-\tan ^{2} 45^{\circ}}{\sin ^{2} 30^{\circ}+\cos ^{2} 30^{\circ}}$ (in $/12$)

Evaluate:
$\sin 25^{\circ} \cos 65^{\circ} + \cos 25^{\circ} \sin 65^{\circ}$

Evaluate:
$\frac{\sin ^{2} 63^{\circ}+\sin ^{2} 27^{\circ}}{\cos ^{2} 17^{\circ}+\cos ^{2} 73^{\circ}}$

State whether the following is true or false. Justify your answer.
$\sin \theta = \cos \theta$ for all values of $\theta$.

$9 \sec^{2} A - 9 \tan^{2} A = \dots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

State whether the following is true or false. Justify your answer.$\sin (A+B) = \sin A + \sin B$