Question

Suppose x=9 tan (theta) and the angle (theta) is in the first quadrant. Write algebraic expressions for sin (theta) and cos (theta) and in terms of x .

Answer 1

Hint: since x = 9 tan (theta), then divide both sides, you get x/9 = tan (theta).

Now let's draw a triangle and show that.

Answer 2

So you want, sin (theta) = opposite leg/hypotenuse
and cos theta = adjacent leg/hypotenuse

Can you figure out the hypotenuse???

Answer 3

oops! its sin= x/9

Answer 4

I dont understand that equation you wrote.

Answer 5

You mean, sin(theta) = x/9?

Answer 6

suppose sin (theta)= x/9 and angle theta is in the first quadrant. Write an algebraic expression for cos( theta) and tan( theta) in terms of x

Answer 7

Draw a triangle...watch!

Answer 8

sorry that was the question

Answer 9

cos (theta) = ?/9

tan (theta) = x/?

You figure out ? using Pythagorean Theorem.

Answer 10

so I figure out what is the adjacent side