# Interactive video lesson plan for: Lessons on Trigonometric Identities | Using Pythagorean Identities to solve trigonometric equations

#### Activity overview:

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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learncbse.in
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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