Given sine of alpha=2/3 and cosine of alpha is less than zero, find the exact value of the other five trigonometric functions.

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1. sketch a right-angled triangle with hypotenuse 3 and opposite side as 2
by Pythagoras the adjacent side to angle alpha is √5

You should know the definition of the 6 trig ratios in terms of opposite, adjacent and hypotenuse

e.g. tan (alpha)= 2/√5

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posted by Reiny

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