QuestionJuly 16, 2025

Use the trigonometric function values of quadrantal angles to evaluate the expression below (cos180^circ )^2-(sin0^circ )^2

Use the trigonometric function values of quadrantal angles to evaluate the expression below (cos180^circ )^2-(sin0^circ )^2
Use the trigonometric function values of quadrantal angles to evaluate the expression below
(cos180^circ )^2-(sin0^circ )^2

Solution
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Answer

1 Explanation 1. Evaluate \cos 180^\circ \cos 180^\circ = -1. 2. Square the cosine value (-1)^2 = 1. 3. Evaluate \sin 0^\circ \sin 0^\circ = 0. 4. Square the sine value 0^2 = 0. 5. Subtract squared values 1 - 0 = 1.

Explanation

1. Evaluate $\cos 180^\circ$<br /> $\cos 180^\circ = -1$.<br />2. Square the cosine value<br /> $(-1)^2 = 1$.<br />3. Evaluate $\sin 0^\circ$<br /> $\sin 0^\circ = 0$.<br />4. Square the sine value<br /> $0^2 = 0$.<br />5. Subtract squared values<br /> $1 - 0 = 1$.
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