SOLUTION: Find the other five trigonometric functions of the acute angle B, given that cot⁡θ=√5⁄2.

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Question 473632: Find the other five trigonometric functions of the acute angle B, given that cot⁡θ=√5⁄2.
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the other five trigonometric functions of the acute angle B, given that cot⁡θ=√5⁄2
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cot x=√5/2=adjacent/opposite
by Pythagorean Theorem
hypotenuse=sqrt(√5^2+2^2)=sqrt(5+4)=√9=3
..
sin x=2/3
cos x=√5/3
tan x=2/√5=2√5/5
csc x=3/2
sec x=3/√5=3√5/5
cot x=√5/2 (given)