Asked by Anonymous
Let θ be an angle in quadrant IV such that cosθ = 4/9.
Find the exact values of csc θ and cot θ.
I am just completely lost! Thanks!
Find the exact values of csc θ and cot θ.
I am just completely lost! Thanks!
Answers
Answered by
Damon
4 along x axis
9 along hypotenuse sloping down
so y = - sqrt(81 -16) = -sqrt(65)
so sin T = -sqrt(65) /9
so csc T = 1/sin T = -9/sqrt 65
cot T = cos T/sin T = (4/9 ) / -(sqrt 65)/9
= 4/sqrt 65 = (4 sqrt 65) / 65
9 along hypotenuse sloping down
so y = - sqrt(81 -16) = -sqrt(65)
so sin T = -sqrt(65) /9
so csc T = 1/sin T = -9/sqrt 65
cot T = cos T/sin T = (4/9 ) / -(sqrt 65)/9
= 4/sqrt 65 = (4 sqrt 65) / 65
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