Trigonometric Identities Exercise 18

ML Aggarwal Solutions Class 10 Mathematics Solutions for Trigonometric Identities Exercise 18 in Chapter 18 - Trigonometric Identities

Question 17 Trigonometric Identities Exercise 18

sin A/ (1 + cos A) = (1 – cos A)/ sin A

Answer:

Solution:

We can apply the algebraic identtiy (a+b) (a-b) = ( a²-b²)

L.H.S. = sin A/ (1 + cos A)

On multiplying and dividing by (1 – cos A), we have

$\begin{aligned} &=\frac{\sin A(1-\cos A)}{1-\cos ^{2} A}=\frac{\sin A(1-\cos A)}{\sin ^{2} A} \\ &=\frac{1-\cos A}{\sin A}=\text { R.H.S. } \end{aligned}$

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Exercises

Trigonometric Identities Exercise 18

Chapters

GST

Banking

Shares and Dividends

Quadratic Equations in One Variable

Factorization

Ratio and Proportion

Matrices

Arithmetic and Geometric Progression

Reflection

Section Formula

Equation of Straight Line

Similarity

Locus

Circles

Constructions

Mensuration

Trigonometric Identities

Trigonometric Tables

Heights and Distances