Prove the Following Identity : 1 + Sin a 1 − Sin a = Cos E C a + 1 Cos E C a − 1 - Mathematics

Question

Prove the following identity :

$\frac{1 + \sin A}{1 - \sin A} = \frac{\cos e c A + 1}{\cos e c A - 1}$

Sum

Solution

LHS = $\frac{1 + \sin A}{1 - \sin A}$

RHS = $\frac{\cos e c A + 1}{\cos e c A - 1} = \frac{\frac{1}{\sin A} + 1}{\frac{1}{\sin A} - 1}$

= $\frac{1 + \sin A}{1 - \sin A}$

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Trigonometric Identities

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Q 1.11 Q 1.1 Q 1.12

Chapter 21: Trigonometric Identities - Exercise 21.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE

Chapter 21 Trigonometric Identities
Exercise 21.1 | Q 1.11

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Prove the Following Identity : 1 + Sin a 1 − Sin a = Cos E C a + 1 Cos E C a − 1 - Mathematics

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Prove the Following Identity : 1 + Sin a 1 − Sin a = Cos E C a + 1 Cos E C a − 1 - Mathematics

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