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liraira [26]
2 years ago
10

In the right triangle below, sin X= 3/5. This is the same as the cosine of which angle? Explain why this is true.

Mathematics
1 answer:
ad-work [718]2 years ago
8 0

Answer:

sin(X)=cos(Z)

Step-by-step explanation:

trig ratio sin(x) = O/H

(where O = side opposite the angle and H = hypotenuse)

Therefore, if angle = X, O = 27 and H = 45

 \implies sin(X)=\dfrac{27}{45}\\\\\implies sin(X)=\dfrac35

trig ratio cos(x) = A/H

(where A = side adjacent to the angle and H = hypotenuse)

So if A = 27 and H = 45 then

cos(Z)=\dfrac{27}{45}\\\\\implies cos(Z)=\dfrac{3}{5}

Therefore, sin(X)=cos(Z)

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===================================

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1. ROS=Obtuse (larger then ninty degrees)

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I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!

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