The expression E - A -cos A - A -cos A is the same in value in which of the following expressions-A- 1- A -1- AB- 1-sin A -1-sin AC- 1-sin A - cos AD- cos A- A -cos A- A

The correct option is B (1 sinA)/(1 + sinA) [ E = cosA/sinA cosA/cosA/sinA + cosA; = cosA( 1 sinA)/cosA( 1 + sinA); = 1 sinA/1 + sinA = ...

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Trigonometric Ratios of Multiples of an Angle

The expressio...

Question

The expression $E = \frac{c o t A - c o s A}{c o t A + c o s A}$ is the same in value in which of the following expressions?

(1 - cotA)/(1 + cotA)

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(1 - sinA)/(1 + sinA)

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(1 - sinA)/cosA

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(cosA + secA)/(cosA - secA)

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The expression $E = \frac{c o t A - c o s A}{c o t A + c o s A}$ is the same in value in which of the following expressions?

\frac{1 + cos A - sin A}{1 + cos A + sin A} = sec A - tan A = \frac{1 - sin A}{cos A} = \sqrt{\frac{1 - sin A}{1 + sin A}}

Prove the following trigonometric identities:

(i) $\sqrt{\frac{1 + s i n A}{1 - s i n A}} = s e c A + t a n A$

(ii) $\sqrt{\frac{1 - c o s A}{1 + c o s A}} + \sqrt{\frac{1 + c o s A}{1 - c o s A}} = 2 c o s e c A$

\frac{1 + cos A - sin A}{1 + cos A + sin A} - sec A + tan A

\frac{cos A - sin A + 1}{cos A + sin A - 1} - (cosec A + cot A)

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