Sin 5π/12 . Cos π/12 find the value
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Hey !!!
Solution :-
=> Sin5π/12. cosπ/12
=> sin 5π/12.cosπ/2
=> sin(π/2 - π/12) . cosπ/12
=> cosπ/12 . cosπ/12
=> cos²π1/2
=> cos²15°
°•° cos15° = √3 + 1 / 2√2
=> (√3 + 1 / 2√2)²
=> (√3 + 1)²/8
=> √3² + 1 + 2√3 /8
=> 2( 2 + √3)/8
=> 2 + √3/4 Answer ✔
____________________________
Hope it helps you !!!
@Rajukumar111
Solution :-
=> Sin5π/12. cosπ/12
=> sin 5π/12.cosπ/2
=> sin(π/2 - π/12) . cosπ/12
=> cosπ/12 . cosπ/12
=> cos²π1/2
=> cos²15°
°•° cos15° = √3 + 1 / 2√2
=> (√3 + 1 / 2√2)²
=> (√3 + 1)²/8
=> √3² + 1 + 2√3 /8
=> 2( 2 + √3)/8
=> 2 + √3/4 Answer ✔
____________________________
Hope it helps you !!!
@Rajukumar111
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