If x = a operatorname{cosec}^{n} theta and y | vedclass

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

Question

(B) Given equations are $x = a \operatorname{cosec}^{n} 	heta$ and $y = b \cot^{n} 	heta$.From these,we can write:$\operatorname{cosec} 	heta = \le

Vedclass · Accepted Answer

$\left(\frac{x}{a}\right)^{\frac{2}{n}} - \left(\frac{y}{b}\right)^{\frac{2}{n}} = 1$

Vedclass · Answer

(B) Given equations are $x = a \operatorname{cosec}^{n} 	heta$ and $y = b \cot^{n} 	heta$.From these,we can write:$\operatorname{cosec} 	heta = \left(\frac{x}{a}ight)^{1/n}$ and $\cot 	heta = \left(\frac{y}{b}ight)^{1/n}$.We know the trigonometric identity: $\operatorname{cosec}^{2} 	heta - \cot^{2} 	heta = 1$.Substituting the values of $\operatorname{cosec} 	heta$ and $\cot 	heta$ into the identity:$\left(\left(\frac{x}{a}ight)^{1/n}ight)^{2} - \left(\left(\frac{y}{b}ight)^{1/n}ight)^{2} = 1$.This simplifies to: $\left(\frac{x}{a}ight)^{2/n} - \left(\frac{y}{b}ight)^{2/n} = 1$.

If $x = a \operatorname{cosec}^{n} \theta$ and $y = b \cot^{n} \theta$,then by eliminating $\theta$,we get:

Similar Questions

$\frac{\sin 81^\circ + \cos 81^\circ}{\sin 81^\circ - \cos 81^\circ}$ is equal to

The value of $\tan 57^{\circ} - \tan 12^{\circ} - \tan 57^{\circ} \tan 12^{\circ} =$ ?

The maximum value of $\cos \alpha_1 \cdot \cos \alpha_2 \cdots \cos \alpha_n$ under the restrictions $0 \le \alpha_1, \alpha_2, \dots, \alpha_n \le \frac{\pi}{2}$ and $\cot \alpha_1 \cdot \cot \alpha_2 \cdots \cot \alpha_n = 1$ is

If $\sin A + \sin^2 A = 1$,then the value of $\cos^2 A + \cos^4 A$ is

The expression $2\cos \frac{\pi }{13} \cos \frac{9\pi }{13} + \cos \frac{3\pi }{13} + \cos \frac{5\pi }{13}$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module