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

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: