If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y? a. 18°
b. 72°
c. 90°
d. 108°

Answers

A. 18°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Hence

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

The answer is 18 ur welcomeee
a: 18°

step-by-step explanation:

\text{use}\ \sin\theta=\cos(|\theta-90^o|).sin(m\angle x)=\cos(m\angle y)\rightarrow m\angle x=|m\angle y-90^o|m\angle x=72^o |m\angle y-90^o|=72^o\iff m\angle y-90^o=72^o\ or\ m\angle y-90^o=-72^otext{add}\ 90^o\ \text{to both sides}m\angle y=162^o\ or\ m\angle y=18^o

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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