If A is in the first quadrant and sin(A)=3/5, and B is in the first quadrant and cos(B)=5/13, find the values of the following: sin(A+B) tan(A+B) cos(2B) cos(A-B) sin(2A)
Added by Bailey C.
Step 1
Now, we can use the sum and difference formulas for sine and cosine to find sin(A+B), cos(A-B), and tan(A+B). sin(A+B) = sin(A)cos(B) + cos(A)sin(B) = (3/5)(5/13) + (4/5)(12/13) = 15/65 + 48/65 = 63/65. cos(A-B) = cos(A)cos(B) + sin(A)sin(B) = (4/5)(5/13) + Show more…
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