How do you find the exact values of the sine, cosine, and tangent of the angle #-105^circ#?

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Answer 1 · 2017-10-23T21:41:47

#sin (pi + 75) = - 0.9659$

#cos (pi + 75) = - 0.2588#

# tan (pi+75) = 3.7321#

#-105^0 = 360 -105 = 255 = 180 + + 75 = pi + 75#

Actually this angle falls in the third quadrant and sin and cos are negative and tan alone positive.

#sin (pi + 75) = - sin 75 = - sin ((5pi)/12) = - 0.9659$

#cos (pi + 75) = - cos ((5pi)/12) = - 0.2588#

# tan (pi+75) = tan ((5pi)/12)= 3.7321#