Question

Acute angle satisfying root 3 sin theta is equal to cos theta is

Answer 1

Answer:

30°

Step-by-step explanation:

Given---> √3 Sinθ = Cosθ

To find---> Acute angle satisfying the trigonometric equation.

Solution---> ATQ,

√3 Sinθ = Cosθ

=> √3 Sinθ = Cosθ × 1

=> Sinθ / Cosθ = 1 / √3

=> tanθ = 1 / √3

=> tanθ = tan 30°

=> θ = 30°

Acute angle satisfied the given equation = 30°

Additional identities--->

1) Sin²θ + Cos²θ = 1

2) 1 + tan²θ = Sec²θ

3) 1 + Cot²θ = Cosec²θ

4) Cotθ = Sinθ / Cosθ

5) Secθ = 1 / Cosθ

6) Cosecθ = 1 / Sinθ

#Answerwithquality

#BAL

Answer 2

Step-by-step explanation:

Solution---> ATQ,

√3 Sinθ = Cosθ

=> √3 Sinθ = Cosθ × 1

=> Sinθ / Cosθ = 1 / √3

=> tanθ = 1 / √3

=> tanθ = tan 30°

=> θ = 30°