If x = y cos frac{2pi}{3} = z cos frac{4pi}{3 | vedclass

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

Question

(B) Given that $x = y \cos \frac{2\pi}{3} = z \cos \frac{4\pi}{3}$.We know that $\cos \frac{2\pi}{3} = -\frac{1}{2}$ and $\cos \frac{4\pi}{3} = -\frac

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(B) Given that $x = y \cos \frac{2\pi}{3} = z \cos \frac{4\pi}{3}$.We know that $\cos \frac{2\pi}{3} = -\frac{1}{2}$ and $\cos \frac{4\pi}{3} = -\frac{1}{2}$.So,$x = y(-\frac{1}{2}) = z(-\frac{1}{2})$.This implies $x = -\frac{y}{2} = -\frac{z}{2}$.Let $x = \lambda$,then $y = -2\lambda$ and $z = -2\lambda$.Now,calculate $xy + yz + zx$:$xy + yz + zx = (\lambda)(-2\lambda) + (-2\lambda)(-2\lambda) + (-2\lambda)(\lambda)$$= -2\lambda^2 + 4\lambda^2 - 2\lambda^2$$= 0$.

If $x = y \cos \frac{2\pi}{3} = z \cos \frac{4\pi}{3}$,then $xy + yz + zx = $

Similar Questions

If $y = \log_e \tan \left(\frac{\pi}{4} + \frac{x}{2}\right)$,then $\tanh \left(\frac{y}{2}\right) = $

The value of $\tan 1^\circ \tan 2^\circ \tan 3^\circ \dots \tan 89^\circ$ is equal to

$A$ circular wire of diameter $10 \, cm$ is cut and placed along the circumference of a circle of diameter $1 \, m$. The angle subtended by the wire at the centre of the circle is equal to:

$\tan 1^\circ \tan 2^\circ \tan 3^\circ \tan 4^\circ \dots \tan 89^\circ = $

Find the angle in radians through which a pendulum swings if its length is $75 \, cm$ and the tip describes an arc of length $10 \, cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module