frac{1-sin theta+cos theta}{1-sin theta-cos t | vedclass

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

Question

(B) We use the identities $\sin 	heta = 2 \sin \frac{	heta}{2} \cos \frac{	heta}{2}$ and $\cos 	heta = 2 \cos^2 \frac{	heta}{2} - 1 = 1 - 2 \sin^

Vedclass · Accepted Answer

$-\cot \frac{	heta}{2}$

Vedclass · Answer

(B) We use the identities $\sin 	heta = 2 \sin \frac{	heta}{2} \cos \frac{	heta}{2}$ and $\cos 	heta = 2 \cos^2 \frac{	heta}{2} - 1 = 1 - 2 \sin^2 \frac{	heta}{2}$.Substituting these into the expression:$\frac{1 - (2 \sin \frac{	heta}{2} \cos \frac{	heta}{2}) + (2 \cos^2 \frac{	heta}{2} - 1)}{1 - (2 \sin \frac{	heta}{2} \cos \frac{	heta}{2}) - (1 - 2 \sin^2 \frac{	heta}{2})}$$= \frac{2 \cos^2 \frac{	heta}{2} - 2 \sin \frac{	heta}{2} \cos \frac{	heta}{2}}{2 \sin^2 \frac{	heta}{2} - 2 \sin \frac{	heta}{2} \cos \frac{	heta}{2}}$$= \frac{2 \cos \frac{	heta}{2} (\cos \frac{	heta}{2} - \sin \frac{	heta}{2})}{2 \sin \frac{	heta}{2} (\sin \frac{	heta}{2} - \cos \frac{	heta}{2})}$$= \frac{2 \cos \frac{	heta}{2} (\cos \frac{	heta}{2} - \sin \frac{	heta}{2})}{-2 \sin \frac{	heta}{2} (\cos \frac{	heta}{2} - \sin \frac{	heta}{2})}$$= -\frac{\cos \frac{	heta}{2}}{\sin \frac{	heta}{2}} = -\cot \frac{	heta}{2}$.

$\frac{1-\sin \theta+\cos \theta}{1-\sin \theta-\cos \theta} = $

Similar Questions

Evaluate: $\cos^2 A(3 - 4\cos^2 A)^2 + \sin^2 A(3 - 4\sin^2 A)^2$

If $\cot A=\frac{11}{60}$,$\cos B=\frac{7}{25}$ and neither $A$ nor $B$ is in the first quadrant,then $\left(A+\frac{B}{2}\right)$ lies in the quadrant

$\cos \frac{\pi}{2^2} \cdot \cos \frac{\pi}{2^3} \cdot \cos \frac{\pi}{2^4} \cdots \cos \frac{\pi}{2^{10}} = $

If $\cos 40^\circ = x$ and $\cos \theta = 1 - 2x^2$,then the possible values of $\theta$ lying between $0^\circ$ and $360^\circ$ are:

If $\cos \frac{\pi}{4} \cos \frac{\pi}{8} \cos \frac{\pi}{16} \cos \frac{\pi}{32} = 2^m \operatorname{cosec} \frac{\pi}{n}$,then $m+n=$

Vedclass Test Series

Exam Paper Generator

Online Exam Module