Question

if √3 sin€ =cos€ ,find the value of sin€ tan€ (1+cot€)÷ sin€+ cos€​

Answer 1

Answer:

1/√3

Step-by-step explanation:

√3 sin  = cos ∅

=> (sin ∅)/(cos∅)= 1/√3

=> tan ∅ = tan 30°

Therefore,

∅ = 30° ----(1)

Value of sin ∅.tan ∅ (1+cot ∅)/sin ∅ + cos ∅

=> [ sin30 * tan30(1 + cot30)]/(sin30 + cos30)

=> [(1/2)(1/√3)(1+√3)]/[1/2+√3/2]

=> [1/(2√3)(1+√3)]/[(1+√3)/2]

=> 1/√3

Answer 2

$1 \ \div \sqrt{3}$

Hope this will help you.