Question

solve:
$\sqrt{3} sinx=cosx$

Answer 1

Given that √3sin∅=cos∅

Implies,

√3=cos∅/sin∅

→cot∅=√3

Substituting the appropriate values of cotangent function,

→cot∅=cot30°

→∅=30°

For ∅=30°,√3sin∅=cos∅

FUNDAMENTAL TRIGONOMETRIC FORMULAS:

★sin²∅ + cos²∅=1

★cosec² - cot²∅ = 1

★sec²∅ - tan²∅ = 1

★sin∅ = 1/cosec∅

★cos∅ = 1/sec∅

★tan∅ = 1/cot∅

Answer 2

Answer:

Root 3 sin x = cos x

sin x / cos x = 1 / root 3

Tan x = 1 / root 3

Tan 30 = 1 / root 3

Hence x = 30

hope this will help u:)