Math tutorials on Right Triangle Trigonometry -Trigonometric Ratios - SohCahToa

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 CBSE solutions for class 10 maths Chapter 8 Trigonometry Exercise 8.1 q5. Given sec theta = 13/12 calculate all other trigonometric ratios.

00:25 Finding sides of sides of right triangle

00:38 naming the sides

00:51 Use Trigonometric Ratio

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

01:21 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.

01:50 Pythagoras Theorem

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

02:37 sine of angle theta = side opposite to angle theta / hypotenuse

sin is equal to opposite over hypotenuse.

Remember as ' SOH '

03:00 cosine of angle theta = side adjacent to angle theta / hypotenuse

Remember as ' CAH ' Cosine equals Adjacent over Hypotenus.

03:20 Tangent of angle theta = side opposite to angle theta / side adjacent to angle theta.

Remeber as ' TAO '. Tan is adjacent over

03:47 RECIPRACAL IDENTITY

04:44 CBSE solutions for class 10 maths Chapter 8 Trigonometry Exercise 8.1 q6. If angle A and angle B are acute angles such that cos A = cos B, then show that angle A = angle B.

05:12 Finding sides of sides of right triangle | Naming the sides

05:50 cosine of angle theta = side adjacent to angle theta / hypotenuse

If a triangle has two sides of equal length, then the angles opposite to these sides are congruent.

07:05 CBSE solutions for class 10 maths Chapter 8 Trigonometry Exercise 8.1 q7. If cot theta = 7/8 evaluate : 00:30 (i) 11:48 (ii) cotangent of angle theta = side adjacent to angle theta / side opposite to angle theta

07:41 Consider the trigonometric expression

08:53 Find the sides of right angles triangle

09:10 consider Trigonometric Ratio

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

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

12:20 CBSE solutions for class 10 maths Chapter 8 Trigonometry Exercise 8.1 q8. If 3 cot A = 4, check whether (1-tan²A)/(1+tan²A) = cos²A - sin²A or not.

13:07 Take LHS of trigonometric equation

13:35 The ratios cosec A, sec A and cot A are respectively, the reciprocals of the ratios sin A, cos A and tan A

14:40 Take RHS of trigonometric equation

15:11 Apply Trigonometric Ratio

tangent of angle theta = side opposite to angle theta / side adjacent to angle theta.

15:41 Pythagoras Theorem

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

16:10 cosine of angle theta = side adjacent to angle theta / hypotenuse

Remember as ' CAH ' Cosine equals Adjacent over Hypotenus.

16:40 consider Trigonometric Ratio

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

sin is equal to opposite over hypotenuse.

Remember as ' SOH '

16:50 solve trigonometric equation

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