Question

1.

determine the exact value..


cot 7pi/6

and sec(-210degrees)


2.

determine approximate measure of all angels that satisfy following, and draw a sketch to show the quadrants involved

cosTHETA = -0.77, -pi lessOr same than theta less than pi


and

cscTHETA=9.5, -270Degrees less than theta lessthanOrEqualToo 90 degrees




if any steps can be shown than it would mean alot. thanks!!

Answer 1

you know that tan π/6 = 1/√3, so, since
tan(π+θ) = tanθ,
tan 7π/6 = 1/√3

sec -210 = sec 210 = sec(180+30) = -√3/2


Draw diagrams, to make sure you get the right quadrants, and watch out for the specified domains!

since -π <= θ <= π
cos .69 = .77, so θ = ±(π-.69)


csc 6 = 9.5, and -270 <= θ <= 90, so θ = -6 or -180+6