double angle and half angle identities

Which of the following is an angle of half turn? => 180° or 360° or 270° or 90°..

Theorem: - If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that where 2s = a + b + ..

Angles - Fig.(i) Fig.(ii) Fig.(iii) Let OA and OB two half lines with common end point O. The half lines OA and OB are the sides of an angle and the point O is the vertex of the angle. An angle is an amount of rotation of a half-..

1. sin A = cos (90 o - A). 2. sin A / cos a = tan A. 3. tan A x tan (90 o - A) = 1. 4. sin 2 A + cos 2 A = 1. 5. 1 + tan 2 A = sec 2 A. 6. 1 + cot 2 A = cosec 2 A. Where 'A' is the angle..

1. sin A = cos (90 o - A) 2. 3. tan A x tan (90 o - A) = 1 4. sin 2 A + cos 2 A = 1 5. 1 + tan 2 A = sec 2 A 6. 1 + cot 2 A = cosec 2 A Let us prove the above identities. Let D ABC be a right-angled triangle with B = 90 o . Let BC = a, AC = b and AB = c. (1..

Conditional Trigonometric Identities - In the previous sections many identities have been discussed. They are true for all values of the angles for which trigonometric functions are defined. In this section we prove identities, where a certain relationship ex..

To measure an angle we shall use two kinds of units, the degree unit and the radian unit. A degree(Sexagesimal system) is defined to be an angle formed by half-line (or a ray) rotated about its end point (1/360) of a complete revolution. Types of ..

Find the exact value of tan 150° using half-angle formula. => - 3 3 or 3 3 or 3 or - 3..

Using half-angle formula, find the value of tan 15°. => 3 6 or 2 - 3 or 2 + 3 or 2 3 3..

Using half angle formula, the exact value of cos 75° is: => 2 - 3 2 or - 2 + 3 2 or - 2 - 3 2 or 2 + 3 2..