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Calculating Heights and Distances

Cofunction of...

Question

Cofunction of secA is

A

cosec(90-A)

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B

sin(90-A)

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C

cot(90-A)

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D

cosec(A)

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Solution

The correct option is A
cosec(90-A)

Cofunction of secA is cosec(90-A)

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\frac{t a n A}{s e c A - 1} = \frac{t a n A + s e c A + 1}{s e c A - 1 + t a n A}

\frac{s e c A - t a n A}{s e c A + t a n A} = 1 - 2 s e c A t a n A + 2 t a n^{2} A

1 + \frac{t a n^{2} A}{1 + s e c A} = s e c A .

\frac{1 + s e c A}{s e c A} = \frac{s i n^{2} A}{1 - c o s A}

Q. If SecA + tanA = x. Find secA-tanA in terms of x.

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Calculating Heights and Distances

Standard IX Mathematics

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