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Question

If secΘtanΘ=2tanΘ, then show that secΘ+tanΘ=2secΘ,

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Solution

secΘtanΘ=2tanΘ
secΘ=(2+1)tanΘ
secΘ+tanΘ=(2+1)tanΘ+tanΘ
=(2+2)tanΘ
=2(1+2)tanΘ
=2secΘ
Hence,proved

1170958_1200451_ans_a1f4ffc0b90e4bd99959c92faa740c4e.jpeg

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