Mathematics · Trigonometry

Using the identity tan(2α) = 2 tan α 1 − tan 2 α , find the value of tan 15°, correct to three decimal places. [Use √3 = 1.732]

Verified Solution4 OptionsUpdated: October 2026👁️1 View

10.269
20.267
30.270
40.268✓

Correct answer

0.268

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Using the identity tan(2α) = 2 tan α 1 − tan 2 α , find the value of tan 15°, correct to three decimal places. [Use √3 = 1.732]

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Using the identity tan(2&alpha;) = 2 tan &alpha; 1 &minus; tan 2 &alpha; , find the value of tan 15&deg;, correct to three decimal places. [Use &radic;3 = 1.732]

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Using the identity tan(2α) = 2 tan α 1 − tan 2 α , find the value of tan 15°, correct to three decimal places. [Use √3 = 1.732]