4. x & लिंए हल करें:-. 1 Lsin (sm cos lx) =1O Al s

1.	4. x & लिंए हल करें:-. 1 Lsin (sm cos lx) =1O Al s
Answer» sin(sin⁻¹1/5+cos⁻¹x)=1 sin⁻¹1/5+cos⁻¹x=sin⁻¹1 But sinπ/2=1 ⇒sin⁻¹1=π/2So, sin⁻¹1/5+cos⁻¹x=π/2--------Equation 1 In inverse trigonometry sin⁻¹t+cos⁻¹t=π/2 So, equation 1 follows the above identity So, sin⁻¹ 1/5+cos⁻¹x=π/2 Therefore value of x will be 1/5.

Answer»

sin(sin⁻¹1/5+cos⁻¹x)=1

sin⁻¹1/5+cos⁻¹x=sin⁻¹1

But sinπ/2=1 ⇒sin⁻¹1=π/2So,

sin⁻¹1/5+cos⁻¹x=π/2--------Equation 1

In inverse trigonometry

sin⁻¹t+cos⁻¹t=π/2

So, equation 1 follows the above identity

So, sin⁻¹ 1/5+cos⁻¹x=π/2

Therefore value of x will be 1/5.

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