Question

evaluate the expression without using a calculator.
sin 30 cos 60 + sin 60 cos 30

Answer 1

sin 30 cos 60 + sin 60 cos 30
Sin 30 = 1/2
cos 60 = 1/2
sin 60 = sqrt(3)/2
cos 30 = sqrt(3)/2
((1/2)(1/2)) + (sqrt(3)/2)^2
(1/4)+ (sqrt(3)/2)^2

Answer 2

so would that be the answer?

Answer 3

instead u can use sinA cos B +cos A sinB = sin (A+B)
so your expression is sin (30+60) = sin 90 = 1

Answer 4

@franciscanmonk is that my answer?

Answer 5

@catgirl17 Learn the formula!
@franciscanmonk it's great review for you :)

Answer 6

haha. yeah i thought there was a way to simplify that. and i couldnt get a hold of it.

Answer 7

did u get that formula ? @catgirl17
and yes final answer is 1.

Answer 8

yes