Question

Triangle PQR has right angle Q. If sin R = 4/5 what is the value of tan P?

Answer 1

By applying Pythagorean' theorem, the value of tanP is equal to 3/4.

How to determine the value of tan P?

Since triangle PQR has right-angle Q and sinR = 4/5, we have:

sinR = Opp/hyp = 4/5

tanP = Opp/Adj = QR/4

Next, we would determine the length of QR by applying Pythagorean' theorem:

PR² = QR² + PQ²

5² = QR² + 4²

25 = QR² + 16

QR² = 25 - 18

QR = √9

QR = 3 units.

For the value of tanP, we have:

tanP = 3/4.

Read more on Pythagorean theorem here: brainly.com/question/23200848

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