Here are the essential concepts you must grasp in order to answer the question correctly.
Cofunctions in Trigonometry
Cofunctions are pairs of trigonometric functions that are related through complementary angles. For example, the sine function is the cofunction of cosine, meaning sin(θ) = cos(90° - θ). This relationship is crucial for finding equivalent values of trigonometric expressions when angles are complementary.
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Value of Cosine at Specific Angles
The cosine function has specific values at key angles, such as 0°, 30°, 45°, 60°, and 90°. For instance, cos(90°) equals 0. Understanding these values helps in evaluating trigonometric expressions quickly and accurately, especially when dealing with angles in radians, such as π/2.
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Sine, Cosine, & Tangent of 30°, 45°, & 60°
Radians and Degrees
Trigonometric functions can be expressed in both degrees and radians. Radians are a unit of angular measure where π radians equals 180 degrees. Recognizing the conversion between these two systems is essential for solving trigonometric problems, as it allows for the correct interpretation of angles in various contexts.
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Converting between Degrees & Radians