An acute angle θ is in a right triangle with sin θ = two thirds . What is the value of cot θ?

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asked Apr 1, 2018 167k views

1 Answer

Scotty H · Answer 1 · 2018-04-06T22:30:52+0000

SinФ=2/3
Then length is 2 and hypotenuse is 3
We can find base now by pythagorean thoerm
B^2=h^2-l^2
B^2=3^2-2^2
B^2=9-4
B=√5

TanФ= l/b
CotФ=1/tanФ
CotФ=√5/2

An acute angle θ is in a right triangle with sin θ = two thirds . What is the value of cot θ?

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