Question #355f8

2 Answers
Feb 3, 2018

see explanation.

Explanation:

#theta = -150^circ# is coterminal to #210^circ# or #(7pi)/6# radians.

This is a Unit Circle angle and you should memorize the sine and cosine:

#sin(210^circ) = -1/2#
#cos(210^circ) = -sqrt(3)/2#
#tan(210^circ) = -sqrt(3)/3#
#csc(210^circ) = -2#
#sec(210^circ) = -2/sqrt(3)#
#cot(210^circ) = -sqrt(3)#

Feb 3, 2018

For #ϴ = 150 °# the values of the 6 trigonometric functions ae given below :-

Explanation:

#sinϴ =1/2#

#cosϴ =-(3)^(1/2)/2#

#tanϴ = -(3)^(1/2)#

#cotϴ = -1/(3)^(1/2)#

#secϴ =-2/(3)^(1/2)#

#cosecϴ = 2 #