Question

(1+sin x)(1-sin x) = 1/sec square x

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Answer 1

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Step-by-step explanation:

1 Expert Answer

1+sin2x = 1+2sinxcosx = sin^2x + cos^2x + 2sinxcosx = (sinx + cosx)^2 = an alternate way of expressing 1+sin2x -> if this is what you were looking for.Jan 13, 

Answer 2

Answer:

to prove lhs=rhs

Lhs：（ 1+sinx）（1-sinx）

（a+b）（a-b）=a square - b square

=（1）square -（sinx）square

= 1-sinx square

= cos x square

（cos x = 1/sec）

= 1/sec square

hence proved . LHS=RHS