CBSE BOARD X, asked by rakshitgoel7392, 9 months ago

prove it equal to 2

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Answered by madhu2935

1

2cos²theta + 2/(1+cot²theta) = 2cos²theta + 2/(1+cos²theta/sin²theta) ( because cot²theta = cos²theta/sin²theta)

=2cos²theta +2/sin²theta+cos²theta/sin²theta)

=2cos²theta+2sin²theta/1

( because sin²theta+cos²theta=1)

=2(cos²theta+sin²theta)

= 2×1

= 2

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