Answer:
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
