If A is an acute angle.

If A is an acute angle and sec A = \\ \frac { 17 }{ 8 } , find all other trigonometric ratios of angle A (using trigonometric identities).

Solution:

sec A = \\ \frac { 17 }{ 8 } (A is an acute angle)
In right ∆ABC
sec A = \\ \frac { AC }{ AB } = \\ \frac { 17 }{ 8 }
AC = 17, AB = 8

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18 Q2.1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18 Q2.2

If tan A = \frac { 1 }{ \sqrt { 3 } } , find all other trigonometric ratios of angle A.

Solution:

tan A = \frac { 1 }{ \sqrt { 3 } }
In right ∆ABC,
tan A = \\ \frac { BC }{ AB } = \frac { 1 }{ \sqrt { 3 } }

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18 Q4.1

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 18 Trigonometric Identities Ex 18 Q4.2

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