SOLUTION: find the exact value of sin(a) knowing that tan a=2/5, and 𝜶∈𝐈𝐈𝐈𝐐.

SOLUTION: find the exact value of sin(a) knowing that tan a=2/5, and 𝜶∈𝐈𝐈𝐈𝐐.

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Question 1177586: find the exact value of sin(a) knowing that tan a=2/5, and 𝜶∈𝐈𝐈𝐈𝐐.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

recall:
Sine Function:

Cosine Function:

Tangent Function:

given => and
find hypothenuse

or

since given angle is in quadrant , sin is , so use

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