If (1 + sin A)(1 + sin B)(1 + sin C) = (1 - s | vedclass

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

Question

(B) Let $x = (1 + \sin A)(1 + \sin B)(1 + \sin C)$ and $y = (1 - \sin A)(1 - \sin B)(1 - \sin C)$.Given $x = y$.Multiply both sides by $y$:$xy = y^2$$

Vedclass · Accepted Answer

$\pm \cos A \cos B \cos C$

Vedclass · Answer

(B) Let $x = (1 + \sin A)(1 + \sin B)(1 + \sin C)$ and $y = (1 - \sin A)(1 - \sin B)(1 - \sin C)$.Given $x = y$.Multiply both sides by $y$:$xy = y^2$$(1 + \sin A)(1 - \sin A)(1 + \sin B)(1 - \sin B)(1 + \sin C)(1 - \sin C) = y^2$$(1 - \sin^2 A)(1 - \sin^2 B)(1 - \sin^2 C) = y^2$$\cos^2 A \cos^2 B \cos^2 C = y^2$Taking the square root of both sides:$y = \pm \cos A \cos B \cos C$Since $x = y$,each side is equal to $\pm \cos A \cos B \cos C$.

If $(1 + \sin A)(1 + \sin B)(1 + \sin C) = (1 - \sin A)(1 - \sin B)(1 - \sin C)$,then each side is equal to

Similar Questions

If $A, B, C$ are acute positive angles such that $A + B + C = \pi$ and $\cot A \cot B \cot C = K$,then

The exact value of $\cos^2 73^\circ + \cos^2 47^\circ + (\cos 73^\circ \cdot \cos 47^\circ)$ is

If $A + B + C = 180^\circ$,then $\sum \tan \frac{A}{2} \tan \frac{B}{2} = $

The value of $\sin 10^\circ + \sin 20^\circ + \sin 30^\circ + ... + \sin 360^\circ$ is

The equation $(a + b)^2 = 4ab \sin^2 \theta$ is possible only when

Vedclass Test Series

Exam Paper Generator

Online Exam Module