Here are the essential concepts you must grasp in order to answer the question correctly.
Cofunction Identities
Cofunction identities in trigonometry relate the values of trigonometric functions of complementary angles. For example, the sine of an angle is equal to the cosine of its complement: sin(θ) = cos(90° - θ). This principle allows us to find equivalent trigonometric values by using angles that add up to 90 degrees.
Recommended video:
Cosecant Function
The cosecant function, denoted as csc(θ), is the reciprocal of the sine function. It is defined as csc(θ) = 1/sin(θ). Understanding this relationship is crucial for finding cofunctions, as it helps in determining the sine value needed to find the corresponding cosecant value.
Recommended video:
Graphs of Secant and Cosecant Functions
Complementary Angles
Complementary angles are two angles whose measures add up to 90 degrees. In the context of trigonometric functions, knowing the complementary angle allows us to apply cofunction identities effectively. For instance, to find a cofunction for csc(35°), we can use the complementary angle 55° (90° - 35°) to relate it to sin(55°).
Recommended video:
Intro to Complementary & Supplementary Angles