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)
(b)
Would you like further details on how these were calculated or have any additional questions?
Here are some related questions:
- How do you calculate the sine and cotangent of an angle?
- What is the difference between sine and cotangent?
- What are the basic trigonometric identities for sine, cosine, and tangent?
- How can you convert between degrees and radians?
- 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