CBSE class 10 maths NCERT SolutionsChapter 8 Trigonometry Exercise 8.4 Q5 | Trigonometric Identities

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00:02 CBSE class 10 maths NCERT SolutionsChapter 8 Trigonometry Exercise 8.4 Q5. Prove the trigonometric equations using trigonometric identities, where the angles involved are acute angles for which the expressions are defined

00:04 q5 (2)

00:19 Procedure for proving Trigonometric equations

00:41 Consider LHS of the trigonometric equation

01:20 algebra maths formulas | Algebraic Expressions and Formulas

USE (a-b)^2 expanding formula

01:58 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

02:59 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

03:13 How to prove Trigonometric identities.

03:35 Q5. Prove the trigonometric equations using trigonometric identities, where the angles involved are acute angles for which the expressions are defined

03:37 CBSE class 10 maths NCERT SolutionsChapter 8 Trigonometry Exercise 8.4 q5 (4)

03:59 solving trigonometric identities procedure

04:04 consider LHS of the trigonometric equation

04:31 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.

05:19 consider RHS of the trigonometric equation

05:30 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

06:00 a squared minus b square formula

06:25 LHS & RHS of the trigonometric equation are equal.

Hence,trigonometric identity is solved

09:48 SORRY FOR INCONVENIENCE, q5 (4) is repeated.

Scroll to 09:48 to watch next solution.

09:48 Q5. Prove the trigonometric equations using trigonometric identities, where the angles involved are acute angles for which the expressions are defined

09:52 CBSE class 10 maths NCERT SolutionsChapter 8 Trigonometry Exercise 8.4 q5 (7)

10:19 Procedure for proving Trigonometric equations using trigonometric identities

10:12 Take LHS of the trigonometric equation

11:04 Quotient Identity

tan A = sin A/cos A.

11:16 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

11:46 solving trigonometric expressions

12:30 LHS is RHS of the trigonometric equation.Trigonometric equation is proved.

12:35 CBSE class 10 maths NCERT SolutionsChapter 8 Trigonometry Exercise 8.4 q5 (10). Prove the trigonometric identities, where the angles involved are acute angles for which the expressions are defined

12:13 Learn how to prove trigonometric identities through our working model.

13:16 consider LHS of the trigonometric equation

13:25 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.

cot A = 1 / tan A

14:16 consider middle expression of the trigonometric equation

14:30 use Reciprocal Identity

15:55 trigonometric identities are proved.

16:36 Q5. Prove the trigonometric identities, where the angles involved are acute angles for which the expressions are defined

16:40 CBSE class 10 maths NCERT SolutionsChapter 8 Trigonometry Exercise 8.4 q5 (8).

17:03 Procedure for solving Trigonometric equations

17:12 Consider LHS of the trigonometric equation

18:27 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.

cosec A = 1 / sin A.

18:50 Use Pythagorian Identity

19:06 Cosecant squared theta minus cot squared theta = 1

19:12 secant squared theta minus tan squared theta = 1

19:25 Simply the trigonometric expression.

19:52 LHS is RHS of the trigonometric equation.Trigonometric equation is proved.

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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