In triangle TRY, angle Y is a right angle and sin is R=3/5 what are the cosine and the tangent of angle t

Question

Mathematics

Maddox Knight

2 July, 13:02

In triangle TRY, angle Y is a right angle and sin is R=3/5 what are the cosine and the tangent of angle t

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Answers (1)

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Cheyanne Duffy · Answer 1

I'll TRY to answer this question as best as I can. (No? Bad pun? Ignore it.)

Anyways ...

From angle R, we have a sine (opposite/hypotenuse) value of 3/5.

This means that we have a 3/4/5 right triangle.

Now, shifting to angle T (we'll have to visualize all of this), the "opposite" value of 3 from angle R becomes the "adjacent" value of angle T.

So, cosine of angle T is going to be 3/5.

Since we know that the adjacent value of T is 3, and that the hypotenuse is 5, the opposite side from T must be 4.

Tangent is opposite/adjacent, so tangent of angle T is 4/3.