Mathematics · Trigonometry

Using the trigonometric identity tan(x2) = 1 - cos(x)sin(x), find the exact value of tan(22.5°).

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1√3 - √22
2√3 + √22
3√2 + 1
4√2 - 1✓

Correct answer

√2 - 1

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Using the trigonometric identity tan(x2) = 1 - cos(x)sin(x), find the exact value of tan(22.5°).

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Using the trigonometric identity tan(x2) = 1 - cos(x)sin(x), find the exact value of tan(22.5°).

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