10) tan (u + v)

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January 2023 1 4 Report

Find the exact value of the trigonometric function given that sin u=5/13 and cos v-3/5 (Both are in Quadrant II.) Note that answers in fractions must be entered like so: 4/5, 1/2, 3/4, -(5/10)

tan (u + v)

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UOlgaMarie tan (u + v) = (tan u + tan v)/(1 - tan u tan v). Plugging in the values we have for sin u and cos v, we find that tan u = -5/12 and tan v = -4/5.

tan (u + v) = (-5/12 + -4/5)/(1 - (-5/12)(-4/5))
= (-61/60)/(-61/60)
= 1

value of tan (u + v) is 1.

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LazyProcrastinato sasusunod tama naman sagod

UOlgaMarie What do u Mean?

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