For what values of θ is cosθ>−sinθ when π/2≤θ<3π/2

Step-by-step explanation:

Given the inequality cosθ>−sinθ, to get the value of that falls within the range π/2≤θ<3π/2, the following steps must be followed;

Step 1;

Divide both sides by cosθ;

cosθ/cosθ>−sinθ/cosθ

1>−sinθ/cosθ

1>-tanθ

Step 2;

Multiplying both sides by -1

-1<tanθ

tanθ>-1

θ>

θ>-45°

Since tan is negative in the second and 4th quadrant;

In the second quadrant θ>180-45

θ>135°

θ>3π/4

in the 4th quadrant, θ>360-45

θ>315°

θ>9π/4

The only value that falls within the range is at when θ>3π/4  

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: