# find the exact value of each remaining trigonometric functions of theta if tan=1/8 and csc>0?

• find the exact value of each remaining trigonometric functions of theta if tan=1/8 and csc>0?

Answer #1 | 08/02 2014 12:21
Tan(A) =1/8 and Csc(A) > 0 Sketch a right triangle with legs of length 1 and 8. The hypotenuse of this right triangle is √(1² + 8²) = √65 Now use the definitions of the other functions So, Sin(A) = 1/√65 Cos(A) = 8/√65 Cot(A) = 8/1 Csc(A) = √65 / 1 Sec(A) = √65 / 8 Please note Csc(A) > 0 as requied!
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