Sinx = 1/2, cosy = sqrt2/2, and angle x and angle y are both in the first quadrant.
tan(x+y)=
a. -3.73
b. 1.53
c. 3.00
d. 3.73

Option D. 3.73

Step-by-step explanation:

we know that

and

step 1

Find cos(X)

we have

we know that

substitute

step 2

Find tan(x)

substitute

step 3

Find sin(y)

we have

we know that

substitute

step 4

Find tan(y)

substitute

step 5      

Find tan(x+y)

substitute

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.