1.What is the value of sinθ given that (3, −7) is a point on the terminal side of θ ? A. −(3√58/58) B. 7√58/58 C. −(7√58/58) D.3√58/58
2.The line with equation x + y = 0 coincides with the terminal side of an angle θ in standard position in Quadrant II .
What is the value of tanθ ?
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3.What is the reference angle for the angle with measure −(π/4) ?
x=3 y=-7 Hypotenuse = sqrt((-7)^2 +3^2)= sqrt(58) 7.616
sin = -7/sqrt58 =-7sqrt58/58
In quadrant II x is negative and y is positive they are equal magnitude because x+y = 0
tan = sin/cos = -1
reference angle is terminal side referenced to x- axis so pi/4