# TRIGONOMETRIC IDENTITIES AND EQUATIONSМаxHalf-angle identities: Problem type 1EspañolUse a half-angle formula to find the exact value of tan 15°tan 15?XAa

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see attachment help_outlineImage TranscriptioncloseTRIGONOMETRIC IDENTITIES AND EQUATIONS Маx Half-angle identities: Problem type 1 Español Use a half-angle formula to find the exact value of tan 15° tan 15 ? X Aa fullscreen
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Step 1

To determine the exact value of tan(15).

Step 2

Used formula:

Step 3 help_outlineImage Transcriptionclose2 tan(x) tan (2x)1-tan(x) 2 tan (15) tan (2151tan2 (15) {plug x 15} 2 tan (15 tan (30)1-tan (15) tan (30)-1-tan (15)) -2 tan (15) 1 (1- tan2 (15)= 2 tan (15) (1- tan (15)2 tan (15) 5 tan2 (15)+2 tan (15)v3-1=0 ..1) fullscreen

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MathTrigonometry

### Trigonometric Ratios 