Math  /  Trigonometry

Question4.677sin294.677 \sin \cdot 29^{\circ}

Studdy Solution

STEP 1

1. The expression involves a trigonometric function, specifically the sine function.
2. The angle provided is in degrees.
3. The task is to evaluate the expression 4.677sin294.677 \sin 29^\circ.

STEP 2

1. Understand the components of the expression.
2. Calculate the sine of 2929^\circ.
3. Multiply the result by 4.677 to evaluate the expression.

STEP 3

Understand the components of the expression: - The expression 4.677sin294.677 \sin 29^\circ consists of a constant 4.6774.677 and the sine of an angle 2929^\circ.

STEP 4

Calculate the sine of 2929^\circ: - Use a calculator or trigonometric table to find sin29\sin 29^\circ. - sin290.4848\sin 29^\circ \approx 0.4848.

STEP 5

Multiply the result by 4.677: - Evaluate 4.677×0.48484.677 \times 0.4848.
4.677×0.48482.267 4.677 \times 0.4848 \approx 2.267
The evaluated expression is approximately 2.267 \boxed{2.267} .

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