Question

In right triangle PQR, m∠Q = 90° and sin R=5/13

What is the value of cos R?
a) 5/13 b)5/12 c) 12/13 d) 12/5

Answer 1

C

Explanation:

Given

sinR =
`(5)/(13)` =
`(opposite)/(hypotenuse)`

This is a 5- 12- 13 triangle with legs PQ = 5, QR = 12, hypotenuse PR = 13

cosR =
`(adjacent)/(hypotenuse)` =
`(QR)/(PR)` =
`(12)/(13)`