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) \(\tan ( u + v ) = - \frac { 833 } { 767 }\)

---

Definitions:

Chloroplast

Organelle of photosynthesis in plants and photosynthetic protists. Light-dependent reactions occur at its inner thylakoid membrane; light-independent reactions, in the stroma.

Thylakoid Membrane

A membrane-bound structure within chloroplasts that contains chlorophyll, where the light-dependent reactions of photosynthesis occur.

Photosystems I and II

Components of the photosynthetic process in plants and algae, capturing light energy for ATP and NADPH production.

Thylakoid Membrane

A compartment enclosed by a membrane within chloroplasts and cyanobacteria, where light-dependent photosynthesis reactions take place.