Math Problem Statement

Use a calculator to evaluate the expression. Round your answer to five decimal places. (a)
sin(27°)

(b)
cot(23°)

Solution

math

(a) sin(27°)

sin_27 = math.sin(math.radians(27))

(b) cot(23°) = 1/tan(23°)

cot_23 = 1 / math.tan(math.radians(23))

Round results to five decimal places

sin_27_rounded = round(sin_27, 5) cot_23_rounded = round(cot_23, 5)

sin_27_rounded, cot_23_roundedThe evaluated values of the expressions are:

(a) sin(27)0.45399\sin(27^\circ) \approx 0.45399

(b) cot(23)2.35585\cot(23^\circ) \approx 2.35585

Would you like further details on how these were calculated or have any additional questions?

Here are some related questions:

  1. How do you calculate the sine and cotangent of an angle?
  2. What is the difference between sine and cotangent?
  3. What are the basic trigonometric identities for sine, cosine, and tangent?
  4. How can you convert between degrees and radians?
  5. What are some real-world applications of trigonometric functions?

Tip: When working with angles, always double-check whether the angle is in degrees or radians before calculating trig functions!

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Sine Function
Cotangent Function
Angle Measurement (Degrees)
Rounding

Formulas

sin(θ) = opposite/hypotenuse
cot(θ) = 1/tan(θ)
Conversion from degrees to radians: radians = degrees × π / 180

Theorems

Trigonometric functions (sin, cos, tan, cot) for angle evaluation

Suitable Grade Level

Grades 9-12