Right Triangle Trigonometry | Solving Problems on Trigonometric Ratios using SOH CAH TOA

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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 tutorial we show you how to name the sides of a right-angled triangle in preparation for using trigonometry to find lengths and angles in right-angled triangles

00:04 1. In triangle ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine

(i) sin A, cos A 003:00 (ii) sin C, cos C

00:25 Naming the sides | Finding sides of right triangle.

00:45 Pythagoras Theorem

01:40 Trigonometric Ratio Defination

sine of angle theta = side opposite to angle theta / hypotenuse

sin is equal to opposite over hypotenuse.

Remember as ' SOH '

02:15 cosine of angle theta = side adjacent to angle theta / hypotenuse

Remember as ' CAH ' Cosine equals Adjacent over Hypotenus.

04:00 3. If sin A = 3/4 calculate cos A and tan A.

04:27 Finding the sides of right-angled triangle

05:01 sin is equal to opposite over hypotenuse. Remember as ' SOH '

06:38 cosine of angle theta = side adjacent to angle theta / hypotenuse

Remember as ' CAH ' Cosine equals Adjacent over Hypotenus.

07:04 Tangent of angle theta = side opposite to angle theta / side adjacent to angle theta.Remeber as ' TAO '. Tan is adjacent over

07:25 4. Given 15 cot A = 8, find sin A and sec A.

07:53 Naming the sides

08:20 cotangent of angle theta = side adjacent to angle theta / side opposite to angle theta

09:05 Pythagoras Theorem

09:46 Trigonometric Ratio Defination

sine of angle theta = side opposite to angle theta / hypotenuse

sin is equal to opposite over hypotenuse. Remember as ' SOH '

10:20 Trigonometric Ratio Defination 'secant'

secant of angle theta = hypotenuse / side adjacent to angle theta

10:58 5. Given sec theta = 13/12 calculate all other trigonometric ratios.

11:24 Finding sides of sides of right triangle

11:34 naming the sides

11:40 Use Trigonometric Ratio

secant of angle theta = hypotenuse / side adjacent to angle theta

12:12 The values of the trigonometric ratios of an angle do not vary with the lengths of the sides of the triangle, if the angle remains the same.

12:30 Pythagoras Theorem

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

12:30 Defination of Trigonometric Ratio

sine of angle theta = side opposite to angle theta / hypotenuse

sin is equal to opposite over hypotenuse.

Remember as ' SOH '

13:53 cosine of angle theta = side adjacent to angle theta / hypotenuse

Remember as ' CAH ' Cosine equals Adjacent over Hypotenus.

14:16 Tangent of angle theta = side opposite to angle theta / side adjacent to angle theta.

Remeber as ' TAO '. Tan is adjacent over

14:53 RECIPRACAL IDENTITY

15:36 10. In triangle PQR, right- angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.

16:28 Finding sides of sides of right triangle

20:04 sin is equal to opposite over hypotenuse.

Remember as ' SOH '

20:34 cosine of angle theta = side adjacent to angle theta / hypotenuse

Remember as ' CAH ' Cosine equals Adjacent over Hypotenus.

21:20 Tangent of angle theta = side opposite to angle theta / side adjacent to angle theta.

21:31 11. State whether the following are true or false. Justify your answer.

21:43 (i) The value of tan A is always less than 1.

21:45 False ,Explanation.

22:21 (ii) sec A = 12/5 for some value of angle A.

22:30 True

23:08 (iii) cos A is the abbreviation used for the cosecant of angle A.

23:20 False

23:35 cosine of angle is abbreviated as Cos A.

23:45 (iv) cot A is the product of cot and A.

23:50 cot A is cotangent of angle A

23:59 (v) sin theta = 4/3 for some angle theta

24:05 Important property of sine.+

trigonometric ratios lesson

Trigonometric Ratios Defination

Trigonometric Ratios - SohCahToa

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CBSE solutions for class 10 maths Chapter 6 Triangles Exercise 8.4

CBSE class 10 maths NCERT Solutions chapter 8 Trigonometry Exercise 8.4| trigonometric identities

CBSE class 10 maths NCERT Solutions chapter 8 Trigonometry

Solutions for CBSE class 10 Maths chapter 8 Trigonometry

NCERT solutions for class 10 maths Triangles

NCERT solutions for CBSE class 10 maths chapter 8 Trigonometry

CBSE class 10 maths solutions chapter 8 Trigonometry

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