b. 72°

c. 90°

d. 108°

A. 18°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Hence

sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°

Option A is correct.

Step-by-step explanation:

We are given

sin∠X = cos∠Y

And value of ∠X= 72°

we need to find value of ∠Y

Putting value of ∠X in the given equation

sin∠X = cos∠Y

sin(72°) = cos∠Y

=> cos∠Y = 0.951

Now we take cos^-1

∠Y = cos^-1(0.951)

∠Y = 18.01 ≈ 18°

So Option A is correct.

18°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Hence

sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°

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