Question

if y = cos (m sin-1 x) find yn (0). ​

Answer 1

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Answer 2

If x = 0 we get yn(0) = 0

Given,

y = cos (m sin-1 x)

To find,

yn (0)

Solution,

Rewrite y = cos (m sin-1 x) as y = cos (m arcsin x)

By Taking the derivative of y with respect to x to find y':

y' = -m sin (m arcsin x) × (1/√(1-x^2))

Substitute x = 0 into y':

y'(0) = -m sin (m arcsin 0) × (1/√(1-0²))

= -m sin (m × 0) × (1/1)

= 0

Thus, yn (0) = 0.

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