Solve the Equation for Exact Solutions Over the Interval [0 $[ 0,2 \pi )$

question 221

Multiple Choice

Solve the equation for exact solutions over the interval [0, 2 $[ 0,2 \pi )$
- $$\sin ^ { 2 } x - \cos ^ { 2 } x = 0$$

• A) \(\left\{ \frac { \pi } { 4 } \right\}\)
• B) \(\left\{ \frac { \pi } { 4 } , \frac { \pi } { 6 } \right\}\)
• C) \(\left\{ \frac { \pi } { 4 } , \frac { 3 \pi } { 4 } , \frac { 5 \pi } { 4 } , \frac { 7 \pi } { 4 } \right\}\)
• D) \(\left\{ \frac { \pi } { 4 } , \frac { \pi } { 3 } \right\}\)

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Definitions:

Pyramid of Biomass

A graphical representation showing the total mass of living organisms at each trophic level in an ecosystem.

Tropical Rainforest

An ecosystem characterized by high rainfall, lush vegetation, and a diverse array of plant and animal species, critical for producing oxygen and storing carbon dioxide.

Detritus Feeder

An organism that feeds on dead organic material, especially plant detritus, contributing to decomposition and nutrient cycling.

Decomposer

Organisms, usually bacteria and fungi, that break down dead or decaying organic matter, recycling nutrients in the ecosystem.