Trigonometry formulas for cbse 10th class

05 Jul

Trigonometry formulas for cbse 10th class

Trigonometry formulas

Trigonometry is the science of relationships between the sides and angles of a right-angled triangle.

Ratios of sides of right triangle are called trigonometric ratios.
Consider triangle ABC right-angled at B. These ratios are always defined with respect to acute angle ‘A’ or angle ‘C.

case I	case II
(i) sine A = $frac { perpendicular }{ hypotenuse } =frac { BC }{ AC }$	(i) sine C = $frac { perpendicular }{ hypotenuse } =frac { AB }{ AC }$
(ii) cosine A = $frac { base }{ hypotenuse } =frac { AB }{ AC }$	(ii) cosine C = $frac { base }{ hypotenuse } =frac { BC }{ AC }$
(iii) tangent A = $frac { perpendicular }{ base } =frac { BC }{ AB }$	(iii) tangent C = $frac { perpendicular }{ base } =frac { AB }{ BC }$
(iv) cosecant A = $frac { hypotenuse }{ perpendicular } =frac { AC }{ BC }$	(iv) cosecant C = $frac { hypotenuse }{ perpendicular } =frac { AC }{ AB }$
(v) secant A = $frac { hypotenuse }{ base } =frac { AC }{ AB }$	(v) secant C = $frac { hypotenuse }{ base } =frac { AC }{ BC }$
(v) cotangent A = $frac { base }{ perpendicular } =frac { AB }{ BC }$	(v) cotangent C = $frac { base }{ perpendicular } =frac { BC }{ AB }$

Trigonometric Ratios of Some Specific Angles

Trigonometric Ratios of Complementary Angles

Trigonometric Identities