Question

Answer the given question and show workings.

Question :
Given that θ = 3/5 , Cos alpha = 3/5 , where θ and alpha are acute. Find Sin ( θ+alpha).

Note : I'm writing alpha in words cuz I don't know how to type in the symbol.​

Answer 1

alpha=cos^-1(0.6)

alpha=53°

sin(37+53)

=1

Answer 2

• 1

Explanation:

Given

• sin θ = 3/5
• cos α = 3/5
• Both angles are acute

Solution

Since both sin θ and cos α have same value of 3/5 and both angles are in the I quadrant, the angles θ and α are complementary.

It means:

• θ + α = 90°
• sin (θ + α) = sin 90° = 1