Answer:
A: sin(55.13+22.62) = .969
B: Cos(55.13-22.62) = .861
C: sin(2*55.13) = .96
D: cos(2*55.13) = -.28
E: tan(55.13+22.62) = 3.9375
F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969
Explanation:
I would like to preface this by saying that my trig is probably rusty so maybe double check my work. I will try to overexplain it so you can easily spot any errors I may make
To solve for x we know that sin(x)=4/5
we can solve for x by using the arc sin
This means that x=arcsin(4/5) which gives me around x=53.13
We can then use the same process for y but with 5/13
so arcsin(5/13) gives us around y=22.62
Then it's just a matter of plugging everything in
A: sin(55.13+22.62) = .969
B: Cos(55.13-22.62) = .861
C: sin(2*55.13) = .96
D: cos(2*55.13) = -.28
E: tan(55.13+22.62) = 3.9375
F: cot=1/tan= 1/tan(55.13-22.62)= 1.6969