SOLUTION: Find the values of the trigonometric functions of θ from the information given.
cot θ = 1/2, sin θ < 0
sin(θ − 11π/6) =
tan(2θ + 3π
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Question 930514: Find the values of the trigonometric functions of θ from the information given.
cot θ = 1/2, sin θ < 0
sin(θ − 11π/6) =
tan(2θ + 3π/2) =
Please help
Thank you
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
cotθ = 1/2, sin θ < 0 , sinθ = -2/√5 = -2√5 /5 , cosθ = -1/√5 =- √5/5
...........
sin (11π/6) = -1/2 , cos (11π/6) = √3 /2
..... Plug and Play
sin(x - y) = sin x cosy - cos x sin y
sin(θ − 11π/6) =
.......
tan 2θ = 2tanx / (1-tan^2x) = 4/(1-4) = -4/3
tan ( 3π/2) = cos/sin = 0
.........Plug and Play
tan(x + y) = (tan x + tan y)/(1- tan x tan y)
tan(2θ + 3π/2) = -4/3
..........
(cosx, sinx) Summary Unit Circle
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