Question

23. If 4 sin-1 x + cos-1 x + cos-> x = π, then x is equal to :
(a) o
(b) 1/2
(c) - 1/2
(d) 1​

Answer 1

$\huge{\boxed{\overline{\underline{\mathfrak{\fcolorbox{cyan}{blue}{Answer}}}}}}$

=> x = 1/2

Given,

4 sin-1 x + cos-1 x + cos-> x = π

=> 4 sin-1 x + π/2 - sin-1 x = π

(cos-1 x + sin-1 x = π/2)

=> 3sin-1 x = π - π/2

=> 3sin-1 x = π/2

=> x = sin π/6

=> x = 1/2

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