Math, asked by samyakshwet1, 10 months ago

If sin^4Theta+cos^theta =1/2. Then sin theta cos theta is


mayank22041999: Is it sin theta + cos theta or sin theta × sin theta?
samyakshwet1: Which one

Answers

Answered by Anonymous
2
heya \\ \\ \\ \sin {}^{4} ( \alpha ) + \cos {}^{4} ( \alpha ) = 1 \div 2 \\ \\ \\ ( \sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) ) {}^{2} - 2 \times ( \sin {}^{2} ( \alpha ) \times \cos {}^{2} ( \alpha ) ) = 1 \div 2 \\ \\ \\ \\ 1 - 2 \times ( \sin {}^{2} ( \alpha ) \times \cos {}^{2} ( \alpha ) ) = 1 \div 2 \\ \\ \\ \sin( \alpha ) \times \cos( \alpha ) = \sqrt{  1 \div 4}

samyakshwet1: Can u explain the 4rth step
Anonymous: ok
Anonymous: -2{ Sin Alfa × Cos Alfa )² = -1/2..
Anonymous: { Sin Alfa × Cos Alfa }² = 1/4
Anonymous: { Sin Alfa × Cos Alfa ) = 1/2
Answered by mayank22041999
0

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