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

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

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

b. x + 1

step-by-step explanation:

i'am smart