Lessons on Proving Trigonometric Identities | Using Pythagorean Identities to solve trigonometric equations

http://www.learncbse.in/ncert-class-10-math-solutions/

http://www.learncbse.in/ncert-solutions-for-class-10-maths-chapter-8-introduction-to-trigonometry/

http://www.learncbse.in/rd-sharma-class-10-solutions-chapter-5-trigonometric-ratios/

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

00:04 q5 (i)

00:18 PROCIDURE 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

03:01 Q5. Prove the trigonometric equations using trigonometric identities, where the angles involved are acute angles for which the expressions are defined

03:04 q5 (3)

03:28 How to solve Trigonometric equations using Trigonometric identities

3:52 Quotient Identities

cot A = cos A / sin A. tan A = sin A/cos A.

05:19 solving Trigonometric identities

07:01 a cube minus b cube formula

Expanding a cube

07:37 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

08:18 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. cosecA = 1/sin A.

08:52 How to prove Trigonometric identities summary.

09:10 q5 (4)

09:33 solving trigonometric identities procedure

09:48 consider LHS of the trigonometric equation

10:00 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.

10:47 consider RHS of the trigonometric equation

11:03 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

11:33 a squared minus b square formula

12:00 LHS & RHS of the trigonometric equation are equal.

Hence,trigonometric identity is solved

12:17 Q5. Prove the trigonometric identities, where the angles involved are acute angles for which the expressions are defined

12:42 Procedure for proving Trigonometric equations using trigonometric identities

13:05 Use of Pythagorian Identity

Cosecant squared theta minus cot squared theta = 1

14:05 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.

15:10 Important step

1 = Cosecant squared theta minus cot squared theta

15:30 Solve numerator and denominator of the trigonometric identity

17:30 LHS is RHS of the trigonometric equation

17:38 q5 (9). Prove the trigonometric identities, where the angles involved are acute angles for which the expressions are defined

17:36 Learn Procedure for proving Trigonometric equations using trigonometric identities

18:00 consider LHS of the trigonometric equation

18:10 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 / cos A

18:38 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

19:48 RHS of the trigonometric equation

18:50 Quotient Identity

tan A = sin A/cos A. tan A=cos A/sin A

20:41 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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CBSE solutions for class 10 maths Chapter 8 Trigonometry Exercise 8.4

CBSE class 10 maths NCERT SolutionsChapter 8 Trigonometry Exercise 8.2 | Trigonometric Identities

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