Question

If
√3 tan 0 = 1 and O is acute, find the value of sin 30 + cos 20.​

Answer 1

Answer:

3/2

Step-by-step explanation:

√3 tanθ = 1

⇒ tanθ = 1/√3

⇒tanθ = tan 30°

⇒θ = 30°.(as θ is acute)

So, sin(3ₓ30°) +cos(2ₓ30°) = sin90° + cos60° = 1+(1/2) = 3/2.