How do you find the values of the other five trigonometric functions of the acute angle A with #cosA=2/3#?

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How do you find the values of the other five trigonometric functions of the acute angle A with #cosA=2/3#?

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Answer 1 · 2018-01-12T17:30:58

If #Cos A = 2/3#
Then, # Sec A = 3/2#
#Sin A# = #√(1-(2/3)^2)# or #(√5)/3#
Then, #Cosec A = 3/(√5)#
So, # Tan A# = #Sin A/Cos A# or #2/(√5)#
Hence, #Cot A# = #(√5)/2#

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How do you find the values of the other five trigonometric functions of the acute angle A with #cosA=2/3#?

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