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Simplify the trigonometric expression.
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Oct 4, 2019
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Simplify the trigonometric expression.
Mathematics
high-school
Crazy Dino
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We can simplify the equation by taking the LCM, as shown below.
Note: I have used x in place of Ф as equation editor does not contain the symbol Ф. The steps will be same, regardless of the variable.
So, the answer to this questions is 2 sec²(Ф)
TurqMage
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Oct 6, 2019
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[1/(1+ sinθ)] + [1/(1- sinθ)]
= [(1 - sinθ) + (1 + sinθ)] / [(1+ sinθ)(1- sinθ)]
= (1 - sinθ + 1 + sinθ) / (1 - sinθ + sinθ - sin²θ)
= (1 + 1 - sinθ + sinθ) / (1 - sin²θ)
= 2/(1-sin²θ)
Ran
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Oct 7, 2019
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Ran
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