Math, asked by harilikhitha199, 10 months ago

cosФ/1-sinФ+1-sinФ/cosФ=2secФ

Answers

Answered by rahulgrover033
1

Step-by-step explanation:

1+sinФ/cosФ+cosФ/1+sinФ=2secФ

LHS=1+sinФ/cosФ+cosФ/1+sinФ

=[1+sinФ]²+cos²Ф/cosФ[1+sinФ]

=1+2sinФ+sin²Ф+cos²Ф/cosФ[1+sinФ]

=1+1+2sinФ/cosФ[1+sinФ] ..............[as sin²Ф+cos²Ф=1]

=2+2sinФ/cosФ[1+sinФ]

=2[1+sinФ]/cosФ[1+sinФ]

=2/cosФ

=2secФ


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Answered by Anonymous
1

Answer:it is very simple . First solve LHS .

Step-by-step explanation: see the attachment below .mark answer as brainlist.

Attachments:
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