Use Identities to Write the Expression as a Single Function $\tan \left( 30 ^ { \circ } + x \right)$

question 331

Multiple Choice

Use identities to write the expression as a single function of x or θ.
- $\tan \left( 30 ^ { \circ } + x \right)$

• A) \(- \tan x\)
• B) \(\frac { \tan x - \sqrt { 3 } } { 1 + \sqrt { 3 } \tan x }\)
• C) \(\tan x\)
• D) \(\frac { 1 + \sqrt { 3 } \tan x } { \sqrt { 3 } - \tan x }\)

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Definitions:

Stepwise Mechanism

A reaction mechanism that occurs through multiple sequential steps, with intermediates formed along the reaction pathway.

Resonance Structures

Different Lewis structures that represent the same molecule, illustrating the delocalization of electrons within the molecule.

Intermediate

A temporary species formed during the conversion of reactants into products in a chemical reaction.

NaOH

Sodium hydroxide, a highly caustic base and alkali that is used in several industries, commonly known as lye.