Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The expression $\frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4b^2c^2}$ is :

Options:

$\cos 2A$

$1 + \cos A$

$1 - \cos A$

$\sin^2 A$

Correct Answer:

$\sin^2 A$

Explanation:

Let, $E=\frac{2s.2(s-a)2.(s-b)2.(s-c)}{4b^2c^2}=\frac{4}{b^2c^2}Δ^2=\frac{4}{b^2c^2}(\frac{1}{2}bc\sin A)^2=\sin^2 A$