Math, asked by Anonymous, 9 months ago

pls solve this question! No spammers please . Please don't be greedy for 50 points . earn it with a correct explanation . Best explanation will be marked brainliest . I NEED A STEP BY STEP EXPLANATION PLEASE. ​ class 11​ .P.S : THE ANSWER IS PART D ) I, NEED THE EXPLANATION ​

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Answers

Answered by Anonymous
3

Step-by-step explanation:

w.k.t,

radian× (180/π} = degree

by above formula 5π /12 = 75° ,

". ". ". π/12 = 15°

tan (75°) - tan (15° ) - (√3 × tan (75°)× tan (15° )

3.73205 -0.26794 -( (1.732) × 3.73205 × 0.26794

3.46411 - 1.73194

1.732

3 ( approximately)

Answered by Anonymous
3

Answer:

√3

Step-by-step explanation:

tan 5π/12 = tan 75° = 2+√3 (proof in attachment)

tan π/12 = tan 15° = 2-√3 (proof in attachment)

so,

tan(5π/12)-tan(π/12)-√3 tan(5π/12) tan(π/12)

=(2+√3)-(2-√3)-√3(2+√3)(2-√3)

=2+√3-2+√3-√3(2²-(√3)²)

=2√3-√3(4-3)

=2√3-√3

=√3

HOPE IT HELPS,

PLEASE MARK AS BRAINLIEST.

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