If sinA = -2/5 and tan θ > 0, then what are the five other trigonometric ratios?

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If sinA = -2/5 and tan θ > 0, then what are the five other trigonometric ratios?

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Answer 1 · 2016-04-12T00:09:40

#cos A = - sqrt21/5#

Explanation:

#sin A = - 2/5#. Find cos A by the identity:
#cos^2 A = 1 - sin^2 A#
#cos ^2 A = 1 - 4/25 = 21/25# ---> #cos A = +- sqrt21/5#
Since tan A > 0, then #cos A = - sqrt21/5#
#tan A = (sin A)/(cos A) = (2/5)(5/sqrt21) = 2/sqrt21#
The other trig ratios are:
#cot A = sqrt21/2#
#sec A = 1/cos A = - 5/sqrt21#
#csc A = 1/sin A = - 5/2#

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If sinA = -2/5 and tan θ > 0, then what are the five other trigonometric ratios?

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Explanation:

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