Find the Exact Value Of $\tan ( u + v )$

question 108

Multiple Choice

Find the exact value of $\tan ( u + v )$ given that $\sin u = - \frac { 11 } { 61 }$ and $\cos v = \frac { 40 } { 41 }$ . (Both $u$ and $v$ are in Quadrant IV.)

• A) \(\tan ( u + v ) = \frac { 37 } { 767 }\)
• B) \(\tan ( u + v ) = \frac { 2488 } { 2301 }\)
• C) \(\quad \tan ( u + v ) = - \frac { 980 } { 2301 }\)
• D) \(\quad \tan ( u + v ) = \frac { 797 } { 767 }\)
• E) \(\tan ( u + v ) = - \frac { 833 } { 767 }\)

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Definitions:

Prezygotic

Referring to mechanisms that prevent fertilization or mating between species, such as geographical separation or timing differences in mating.

Postzygotic

Referring to events that occur after the formation of a zygote, affecting hybrid viability or fertility.

Phyletic Gradualism

Phyletic gradualism is an evolutionary model proposing that species evolve through gradual changes of traits over long periods of time.

Punctuated Equilibrium

A theory in evolutionary biology that suggests species evolve rapidly during short periods of time followed by long periods of stasis.