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Asked Oct 7, 2019
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TRIGONOMETRIC 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
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TRIGONOMETRIC 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

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Expert Answer

Step 1

To determine the exact value of tan(15).

Step 2

Used formula:

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2 tan (x) tan (2x)-tan (x) 1 tan

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Step 3

Calculation: Adjust tan(30) acc...

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2 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)

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Trigonometric Ratios

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