lyseelola3224
lyseelola3224 lyseelola3224
  • 26-03-2019
  • Mathematics
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simplify the trigonometric expression. show your work

simplify the trigonometric expression show your work class=

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musiclover10045
musiclover10045 musiclover10045
  • 26-03-2019

See the attached picture for the solution:

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zlskfrum zlskfrum
  • 26-03-2019

Answer:

Step-by-step explanation:

1/(1+sinθ) + 1/(1-sinθ)

= (1-sinθ)/[(1+sinθ)(1-sinθ)] + (1+sinθ)/[(1-sinθ)(1+sinθ)]

= [(1-sinθ) + (1+sinθ)] / [(1-sinθ)(1+sinθ)]

= [1 - sinθ + 1 + sinθ] / [1 - sin^2sθ]

= 2 / cos^2θ

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