If cot theta = frac{a}{b},then frac{cos theta | vedclass

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

Question

(D) Given $\cot 	heta = \frac{a}{b}$.We know that $\cot 	heta = \frac{\cos 	heta}{\sin 	heta}$,so $\frac{\cos 	heta}{\sin 	heta} = \frac{a}{b}$.

Vedclass · Accepted Answer

$\frac{a-b}{a+b}$

Vedclass · Answer

(D) Given $\cot 	heta = \frac{a}{b}$.We know that $\cot 	heta = \frac{\cos 	heta}{\sin 	heta}$,so $\frac{\cos 	heta}{\sin 	heta} = \frac{a}{b}$.To evaluate $\frac{\cos 	heta - \sin 	heta}{\cos 	heta + \sin 	heta}$,divide both the numerator and the denominator by $\sin 	heta$:$\frac{\frac{\cos 	heta}{\sin 	heta} - \frac{\sin 	heta}{\sin 	heta}}{\frac{\cos 	heta}{\sin 	heta} + \frac{\sin 	heta}{\sin 	heta}} = \frac{\cot 	heta - 1}{\cot 	heta + 1}$.Substituting $\cot 	heta = \frac{a}{b}$:$\frac{\frac{a}{b} - 1}{\frac{a}{b} + 1} = \frac{\frac{a-b}{b}}{\frac{a+b}{b}} = \frac{a-b}{a+b}$.

If $\cot \theta = \frac{a}{b}$,then $\frac{\cos \theta - \sin \theta}{\cos \theta + \sin \theta} = \ldots$

Similar Questions

If $\sin \theta - \cos \theta = 0$,then the value of $(\sin^4 \theta + \cos^4 \theta)$ is

If $2 \sin^{2} \theta - \cos^{2} \theta = 2$,then find the value of $\theta$. (in $^{\circ}$)

$\frac{\sin 60^{\circ} + \cos 30^{\circ}}{1 + \sin 30^{\circ} + \cos 60^{\circ}} = \dots$

Prove that,$(\sin \alpha+\cos \alpha)(\tan \alpha+\cot \alpha)=\sec \alpha+\operatorname{cosec} \alpha$

If $\sqrt{3} \tan \theta = 1$,then find the value of $\sin^{2} \theta - \cos^{2} \theta$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module