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

1 answer

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