Multiple choice

What is the approximate value of $(\sin 17^o)^2+ (\cos 17^o)^2$ ?

  1. .03

  2. .18

  3. .72

  4. 1.00

  5. 1.27
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D Correct answer
Explanation

By the Pythagorean identity, sin^2(theta) + cos^2(theta) = 1 for any angle theta. Thus, sin^2(17) + cos^2(17) = 1.

AI explanation

Using the fundamental trigonometric identity, the sum of the squares of the sine and cosine of the same angle always equals one. Applying this identity to the expression, the square of sine of seventeen degrees plus the square of cosine of seventeen degrees simplifies directly. The calculation does not depend on the specific angle value. The approximate value of the expression is 1.00.

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