Solve the Equation in the Interval [0°, 360°) $\sin ^ { 2 } \theta - \sin \theta - 12 = 0$

question 420

Multiple Choice

Solve the equation in the interval [0°, 360°) . Give solutions to the nearest tenth, if necessary.
- $\sin ^ { 2 } \theta - \sin \theta - 12 = 0$

• A) \(\left\{ 45 ^ { \circ } , 315 ^ { \circ } \right\}\)
• B) \(\varnothing\)
• C) \(\left\{ 45 ^ { \circ } , 135 ^ { \circ } \right\}\)
• D) \(\left\{ 45 ^ { \circ } \right\}\)

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Definitions:

Beta Particle Emission

A radioactive decay process where a beta particle (electron or positron) is emitted from an atomic nucleus.

Alpha Particle Emission

A type of radioactive decay in which an unstable atomic nucleus emits an alpha particle (2 protons and 2 neutrons) to form a new nucleus, decreasing its atomic number by 2 and mass number by 4.

Positron Particle Emission

A type of beta decay in which a positron is ejected from an atomic nucleus, transforming a proton into a neutron.

Beta Particles

High-speed electrons or positrons emitted by certain types of radioactive decay, such as beta decay.