let (-3,-7) be a point on the terminal side of theta. find the exact values of sin theta, sec theta, and tan theta

The exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Step-by-step explanation:

Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58

We know that sinθ = y/r.

So, sinθ = y/r = -7/√58

We know that secθ = 1/cosθ = 1/x/r = r/x

So, secθ = r/x = √58/-3 = -√58/3

We know that tanθ = y/x.

So, tanθ = y/x = -7/-3 = 7/3

So, the exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

good luck!

cutie~

n

step-by-step explanation: