Question

sin⁻¹(cos π/5), Evaluate it.

Answer 1

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Answer 2

Answer:

3π/10

Step-by-step explanation:

We have to find the value of Sin⁻¹(Cos π/5).

[Now, it is known to us that Cosα=Sin (π/2 -α),  

for example, if α=π/6, then Cos π/6 =Sin (π/2-π/6) = Sin π/3 =√3/2]

Hence, we can write the following as

Sin⁻¹(Cos π/5)

= Sin⁻¹[Sin(π/2-π/5)]

= Sin⁻¹[Sin(3π/10)]

=3π/10 (Answer) {Since, it is known to us that Sin⁻¹(Sinα) =α for any real value of α}