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ALEKS Trigonometry Answers: Evaluate tan 47°, cos 38°, and sin 76°

In degree mode, the requested values round to tan 47° = 1.07, cos 38° = 0.79, and sin 76° = 0.97.

Question

Use a calculator to evaluate each expression. Round your answers to the nearest hundredth.

  1. tan⁡47∘=‾\tan 47^\circ = \underline{\hspace{2cm}}
  2. cos⁡38∘=‾\cos 38^\circ = \underline{\hspace{2cm}}
  3. sin⁡76∘=‾\sin 76^\circ = \underline{\hspace{2cm}}

Answers

Set the calculator to degree mode, keep the displayed precision through the calculation, and round only the final values.

ExpressionCalculator valueNearest hundredth
tan⁡47∘\tan 47^\circ1.0723687…1.0723687\ldots1.07\boxed{1.07}
cos⁡38∘\cos 38^\circ0.7880108…0.7880108\ldots0.79\boxed{0.79}
sin⁡76∘\sin 76^\circ0.9702957…0.9702957\ldots0.97\boxed{0.97}

Calculator check

The degree symbols are part of the data. In degree mode, enter each function and angle directly:

tan⁡(47),cos⁡(38),sin⁡(76).\tan(47),\qquad \cos(38),\qquad \sin(76).

All three angles lie in the first quadrant, so each result should be positive. The sine and cosine answers must also lie between 0 and 1. These checks agree with the calculated values.

Evidence boundary

These values apply only to 47°, 38°, and 76° interpreted in degree mode and rounded to the nearest hundredth as requested. Intermediate values were not rounded early; radian-mode inputs would produce different results.

Sources

These references support the concepts and methods used in the explanation above.

ALEKS Trigonometry Answers: Calculator Values | Verla