prove that sin square 45degree minus sin square 15 degree is equal to root three by four
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Answered by
2
Answer:
It's answer will be 1/4
Step-by-step explanation:
sin²45°–sin²15°
sin²30= (1/2)² = 1/4
If you want a abstruse simplification for it, then it will be:
sin²45°–sin²15°
=> (1/√2)²– {sin(45°–30°)}²
=> 1/2 – (sin45°–sin30°)²
=> 1/2 – (1/√2 – 1/2)²
=> 1/2 – {(1/√2)²–2.1/√2.1/2+ (1/2)²}
=> 1/2 – 1/2 + 2/2√2 + 1/4
=> 2/2√2 + 1/(√4)²
=> 2/√8 + 1/√4.√4 [ 2√2=√8 ]
=> (2+ 2/√4)
=> (2√4+2) /√4
=> 2√4/√4 + (√2)²/ √2⁴
=> 2+ (1/√2²
=> 2+ 1/2
=> (4+1)/2
=> 5/2
Answered by
0
Answer:
root3 by 4
Step-by-step explanation:
sin 45 is 1 by root 2 and sin 30 is 1by 2
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