Question

if sin theta =root3cos theta,find the value of sin theta - cos theta.​

Answer 1

Answer:

let theta be x

then u square the equation (sinx-cosx) and after squaring substitute the value of sinx in terms of cosx ....Puget the answer as 4cosx- 2√3cosx

Answer 2

Given: sin∅ = √3 cos∅

→ sin∅/cos∅ = √3

→ tan∅ = √3

→ tan60° = √3

→ tan∅ = tan 60°

→ ∅ = 60°

→ sin∅ - cos∅ = sin 60° - cos 60°

→ √3/2 - 1/2

→ (√3 - 1)/2

Answer: (√3 - 1)/2

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Concepts

• tan∅ = sin∅/cos∅
• sin 60° = √3/2
• cos 60° = 1/2