SOLUTION: Given that sin(a) = 3 4 and cos(b) = − 1 3 , with a and b both in the interval 𝜋 2 , 𝜋 , find the exact values of sin(a + b) and cos(a − b)

Question 1204731: Given that
sin(a) =
3
4
and
cos(b) = −
1
3
,
with a and b both in the interval
𝜋
2
, 𝜋
,
find the exact values of
sin(a + b)
and
cos(a − b).

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:
and , with and both in the interval , =>

ln sine is and cosine is

=> and

using the Pythagorean Theorem, the missing side

or
we need

and
, => ,

or

we need

find the exact values of

and

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