Question

What is the value of tan θ if √3 cos θ - sin θ= √2?​

Answer 1

Step-by-step explanation:

√3 cos θ - sin θ= √2dividing both side by 2

√3/2 cos ∅-1/2 sin∅=√2/2

sin60cos∅-cos60sin∅=1/√2

sin(60-∅)=sin(180-45)or sin45

therefore=

60-∅=135

∅=135-60=75

tan∅=tan75=3.73or 2+√3

when ∅=45

60-∅=45

∅=60-45=15

tan∅=tan15=2+√3