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!!
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!!
Answers
Steve
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
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