Solve the Equation for Exact Solutions $\arcsin 2 x + 2 \arccos x = \pi$

question 126

Multiple Choice

Solve the equation for exact solutions.
- $\arcsin 2 x + 2 \arccos x = \pi$

• A) \(\left\{ - \frac { \sqrt { 3 } } { 2 } , \frac { \sqrt { 3 } } { 2 } \right\}\)
• B) \(\{ 0 \}\)
• C) \(\left\{ - \frac { \sqrt { 3 } } { 4 } , \frac { \sqrt { 3 } } { 4 } \right\}\)
• D) \(\{ 1 \}\)

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Definitions:

Bryophyta

A division of non-vascular plants that includes mosses, characterized by a life cycle dominated by the gametophyte stage.

Hepaticophyta

A division of non-vascular plants known as liverworts, which are small, herbaceous plants found worldwide, playing a key role in the ecology of moist habitats.

Anthocerophyta

A phylum of non-vascular plants known as hornworts, characterized by a sporophyte that resembles a horn.

Ferns

A group of non-flowering vascular plants that reproduce via spores and have neither seeds nor flowers.