math-trigonometry-apply-trigonometric-identities-to-solve-trigonometric-equations-trig-functions

Math Trigonometry problems | Apply trigonometric identities to solve Trigonometric Equations | Trig Functions

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/

In this math tutorial we prove trigonometric identities, solve trigonometric equations and Verify Trigonometric Identities.We use Quotient Identities , Reciprocal Identities, and the Pythagorian Identities to solve problems on trigonometric identities.Apply trigonometric identities to Solve Trigonometric Equations.

00:02 CCSS.MATH.CONTENT.HSF.TF.C.8 example q5 (10). Prove the trigonometric identities, where the angles involved are acute angles for which the expressions are defined

00:33 Learn how to prove trigonometric identities through our working model.

00:56 consider LHS of the trigonometric equation

01:05 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.

cot A = 1 / tan A

01:56 consider middle expression of the trigonometric equation

02:10 use Reciprocal Identity

03:35 trigonometric identities are proved.

04:03 q5 (8).

04:32 Procedure for solving Trigonometric equations

04:28 Consider LHS of the trigonometric equation

05:05 algebra maths formulas | Algebraic Expressions and Formulas

USE (a-b)^2 expanding formula

06:02 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.

06:33 Use Pythagorian Identity

06:32 Cosecant squared theta minus cot squared theta = 1

06:40 secant squared theta minus tan squared theta = 1

06:57 Simply the trigonometric expression.

07:17 LHS is RHS of the trigonometric equation.Trigonometric equation is proved.

07:35 CCSS.MATH.CONTENT.HSF.TF.C.8 example q5 (4)

07:58 solving trigonometric identities procedure

08:02 consider LHS of the trigonometric equation

08:27 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

sec A = 1/cos A.

09:10 consider RHS of the trigonometric equation

09:29 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

09:52 a squared minus b square formula

10:23 LHS & RHS of the trigonometric equation are equal.

Hence,trigonometric identity is solved

10:36 CCSS.MATH.CONTENT.HSF.TF.C.8 example q5 (7)

10:55 Procedure for proving Trigonometric equations using trigonometric identities

11:00 Take LHS of the trigonometric equation

11:51 Quotient Identity

tan A = sin A/cos A.

12:03 Use Pythagorian Identity

sin squared theta plus cos squared theta = 1

12:34 solving trigonometric expressions

13:11 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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