A is ab acute angle such that tan A = a. Find the value of the following term in a. Sin(30+A)

Question

Compound angles and exact values meed to he used

Answer 1

sin(A+30^o) = sin A cos30^o + cosA sin 30^o ...Equation I

sin 30 = ½  cos 30 = ½•√3

 

1+ tan²A = sec²A

1 + a² = 1/cos²A so cos A = 1 / √(1+a²)

 

sin²A + cos²A = 1; use this to find an expression for sin A.

 

You now can substitute appropriate expressions &/or values into Equation I.