Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

If $cos^{-1}\alpha + cos^{-1}\beta +cos^{-1}\gamma = 3\pi $ then value of $\alpha^2\beta^2\gamma^2 +3 (\alpha + \beta + \gamma )= $

Options:

-8

0

10

-10

Correct Answer:

-8

Explanation:

The correct answer is Option (1) → -8

$\cos^{-1}\alpha + \cos^{-1}\beta +\cos^{-1}\gamma = 3\pi $

$⇒α=-1=β=γ$

so $\alpha^2\beta^2\gamma^2 +3 (\alpha + \beta + \gamma)$

$=1-9=-8$