the reference triangle is { - 7 , - 3 , √ 58 } or the corresponding point on the unit circle is ( - 7 / √58 , - 3 / √58 )
Assuming Θ is in standard position, measured counterclockwise from the +x axis:
x = -7
y = -3
r = √(49+9) = √58
sinΘ = y/r = -3/√58 = -3√58/58
secΘ = r/x = -√58/7
tanΘ = y/x = 3/7
(-7,-3) is in quadrant III, so sinθ < 0 and cosθ < 0.
√(7²+3²) = √58
sinθ = -3/√58 = (-3√58)/58
secθ = 1/cosθ
= 1/(-7/√58)
= -√58/7
tanθ = sinθ/cosθ = 3/7
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the reference triangle is { - 7 , - 3 , √ 58 } or the corresponding point on the unit circle is ( - 7 / √58 , - 3 / √58 )
Assuming Θ is in standard position, measured counterclockwise from the +x axis:
x = -7
y = -3
r = √(49+9) = √58
sinΘ = y/r = -3/√58 = -3√58/58
secΘ = r/x = -√58/7
tanΘ = y/x = 3/7
(-7,-3) is in quadrant III, so sinθ < 0 and cosθ < 0.
√(7²+3²) = √58
sinθ = -3/√58 = (-3√58)/58
secθ = 1/cosθ
= 1/(-7/√58)
= -√58/7
tanθ = sinθ/cosθ = 3/7