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Thursday, 11 January 2018

Find the value of tan 15 degrees

  By GK Planet Team       Thursday, 11 January 2018

Exact Value of tan 15° | How to calculate tan15-degree value

Q. Find the value of tan 15 degrees


Let  tan(15°) = tan(45°-30°)

We know that tan(A - B) = (tanA - tanB) /(1 + tan A tan B)

⇒tan(45°-30°) = (tan45°- tan30°)/(1+tan45°tan30°)

= {1- (1/√3)} / {1+(1/√3)}

∴ tan15° = (√3 - 1) / (√3 + 1)


             


            =23

Alternate

So,  or 
As,  falls in first quadrant, 
So,  is the value of tan 15 degree.

After simplification, the value of tan 15 comes out to be 0.26794919243
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