If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).

If cos(t) = 2/7 and t is in the 4th quadrant, then sin(t) = -(3√5)/7

Since;

Sin²t + Cos²t = 1

The expression above is from Pythagoras trigonometric identity;

Therefore;

Sin (t) = (3√5)/7

However, only Cosine of angles in the fourth quadrant are positive.

Therefore, Sin (t) = -(3√5)/7

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the quadrant is facing upwards