Question

Write the cotangent of 37 degrees as its cofunction.

A) csc(π/3)
B) tan(π/3)
C) sec(π/3)
D) sin(π/3)

Answer 1

The cotangent of 37 degrees expressed as its cofunction is tan(π/3), matching option B, which is the tangent of its complementary angle in radians.

Step-by-step explanation:

The cotangent of 37 degrees can be expressed as the cofunction of its complement, which is 53 degrees (90 degrees - 37 degrees = 53 degrees). In radians, 53 degrees is approximately π/3 radians. The cofunction of cotangent is tangent. Therefore, the cotangent of 37 degrees expressed as its cofunction is tan(π/3), which corresponds to option B.