Find all other trigonometric ratios of angle A.

by

If A is an acute angle and sin A = \\ \frac { 3 }{ 5 } find all other trigonometric ratios of angle A (using trigonometric identities).

Solution:

sin A = \\ \frac { 3 }{ 5 }
In ∆ABC, ∠B = 90°
AC = 5 and BC = 3

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18 Q1.1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18 Q1.2

Express the ratios cos A, tan A and sec A in terms of sin A.

Solution:

cos A = \sqrt { { 1-sin }^{ 2 }A }
tan A = \frac { SinA }{ CosA } =\frac { sinA }{ \sqrt { { 1-sin }^{ 2 }A } }
sec A = \frac { 1 }{ cosA } =\frac { 1 }{ \sqrt { { 1-sin }^{ 2 }A } }

More Solutions:

Leave a Comment