Trigonometry Identities Lessons | CBSE class 10 maths Trigonometry Ex 8.4 Q5

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00:02 Q5. Prove the trigonometric identities, where the angles involved are acute angles for which the expressions are defined

00:04 CBSE class 10 maths NCERT Solutions Chapter 8 Trigonometry Ex 8.4 Q5 (i)

00:18 Procedure for solving Trigonometric equations

00:30 consider LHS of the trigonometric equations

00:40 Reciprocal Identity.

The ratios cosec A, sec A and cot A are respectively, the reciprocals of the ratios sin A, cos A and tan A

Quotient Identity

cot A = cos A / sin A.

01:15 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

02:39 trigonometric equation is proved

03:00 Q5. Prove the trigonometric equations using trigonometric identities, where the angles involved are acute angles for which the expressions are defined

03:03 CBSE class 10 maths NCERT Solutions Chapter 8 Trigonometry Ex 8.4 Q5 (2)

03:19 Procedure for proving Trigonometric equations

03:41 consider LHS of the trigonometric equation

04:20 algebra maths formulas | Algebraic Expressions and Formulas

USE (a-b)^2 expanding formula

04:58 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

05:59 Reciprocal Identity.

The ratios cosec A, sec A and cot A are respectively, the reciprocals of the ratios sin A, cos A and tan A

sec A = 1/cos A

06:13 How to prove Trigonometric identities.

06:35

06:37 Q5. Prove the trigonometric equations using trigonometric identities, where the angles involved are acute angles for which the expressions are defined

06:39 CBSE class 10 maths NCERT Solutions Chapter 8 Trigonometry Ex 8.4 Q5 (4)

07:05 solving trigonometric identities procedure

07:18 consider LHS of the trigonometric equation

07:30 Reciprocal Identity.

The ratios cosec A, sec A and cot A are respectively, the reciprocals of the ratios sin A, cos A and tan A

sec A = 1/cos A.

08:17 consider RHS of the trigonometric equation

08:33 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

09:03 a squared minus b square formula

09:30 LHS & RHS of the trigonometric equation are equal.

Hence,trigonometric identity is solved

09:46 Q5. Prove the trigonometric equations using trigonometric identities, where the angles involved are acute angles for which the expressions are defined

09:48 CBSE class 10 maths NCERT Solutions Chapter 8 Trigonometry Ex 8.4 Q5 (7)

10:04 Procedure for proving Trigonometric equations using trigonometric identities

10:11 Take LHS of the trigonometric equation

10:56 Quotient Identity

tan A = sin A/cos A.

11:09 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

11:40 solving trigonometric expressions

12:27 LHS is RHS of the trigonometric equation.Trigonometric equation is proved.

12:52 CBSE class 10 maths NCERT Solutions Chapter 8 Trigonometry Ex 8.4 Q5 5. Prove the trigonometric identities, where the angles involved are acute angles for which the expressions are defined

12:58 Procedure for proving Trigonometric equations using trigonometric identities

13:25 Use of Pythagorian Identity

Cosecant squared theta minus cot squared theta = 1

13:52 Reciprocal Identity.

The ratios cosec A, sec A and cot A are respectively, the reciprocals of the ratios sin A, cos A and tan A.

15:20 Important step

1 = Cosecant squared theta minus cot squared theta

16:07 Solve numerator and denominator of the trigonometric identity

17:40 LHS is RHS of the trigonometric equation

Using the fundemental identities and the Pythagorean Identities

multiple examples of verifying trigonometric identities

How to Solve Trigonometric Identities Proving Problems

method to solve trigonometric identities problems

the Quotient Identities, Reciprocal Identities, and the Pythagorian Identities.

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CBSE solutions for class 10 maths Chapter 8 Trigonometry Exercise 8.4

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