Question

Given the right angle triangle shown here, calculate:

1. a) sin(a)
17
2. a) sin(b)
8
b) cos(a)
b
b) cos(b)
15
c) tan(a)
c) tan(b)
Write trig. ratios for each.

Answer 1

The first answer is correct

Answer 2

see explanation

Explanation:

(1)

(a)

sin(a) =
`(opposite)/(hypotenuse)` =
`(15)/(17)`

(b)

cos(a) =
`(adjacent)/(hypotenuse)` =
`(8)/(17)`

(c)

tan(a) =
`(opposite)/(adjacent)` =
`(15)/(8)`

----------------------------------------------------

(2)

(a)

sin(b) =
`(opposite)/(hypotenuse)` =
`(8)/(17)`

(b)

cos(b) =
`(adjacent)/(hypotenuse)` =
`(15)/(17)`

(c)

tan(b) =
`(opposite)/(adjacent)` =
`(8)/(15)`