If 2 sin theta + cos theta = frac{7}{3}, then | vedclass

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

Question

(D) We know the fundamental trigonometric identity: $\sec^2 	heta - 	an^2 	heta = 1.$Rearranging this identity,we get: $	an^2 	heta - \sec^2 	he

Vedclass · Accepted Answer

$-1$

Vedclass · Answer

(D) We know the fundamental trigonometric identity: $\sec^2 	heta - 	an^2 	heta = 1.$Rearranging this identity,we get: $	an^2 	heta - \sec^2 	heta = -1.$Since the expression $(	an^2 	heta - \sec^2 	heta)$ is independent of the value of $	heta$ (provided $	heta$ is in the domain of the functions),the given equation $2 \sin 	heta + \cos 	heta = \frac{7}{3}$ is irrelevant to the final result.Therefore,the value is $-1$.

If $2 \sin \theta + \cos \theta = \frac{7}{3},$ then the value of $(\tan^2 \theta - \sec^2 \theta)$ is

Similar Questions

$A$ ladder having a length of $16\,m$ is leaning against a wall at an angle of $60^{\circ}$ with the ground. Find the distance between the wall and the foot of the ladder (in $m$).

$\cos A + \sin (270^\circ + A) - \sin (270^\circ - A) + \cos (180^\circ + A) = $

If $x = \sin 130^\circ \cos 80^\circ$,$y = \sin 80^\circ \cos 130^\circ$,and $z = 1 + xy$,which one of the following is true?

The number of real solutions of the equation $\tan(e^x) = e^x + e^{-x}$ for $x > 0$ is:

$\sin 4\theta$ can be written as

Vedclass Test Series

Exam Paper Generator

Online Exam Module