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Write the expression in terms of the appropriate cofunction. cot(25°)
A
tan(65°)
B
tan(25°)
C
cot(65°)
D
cot(25°)
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1
Understand the concept of cofunctions: Cofunctions are pairs of trigonometric functions that are complementary, meaning their angles add up to 90 degrees. For example, the cofunction of cotangent is tangent.
Identify the angle given in the problem: The angle provided is 25 degrees, and we need to find its cofunction.
Determine the complementary angle: Since cofunctions are based on complementary angles, calculate the complementary angle by subtracting the given angle from 90 degrees. So, 90° - 25° = 65°.
Relate cotangent to its cofunction: The cofunction of cotangent is tangent. Therefore, cot(25°) can be expressed in terms of its cofunction as tan(65°).
Verify the options provided: Among the options given, tan(65°) is the correct expression in terms of the cofunction of cot(25°).