sine 40

Given equation sin q = k. Let a be the least positive angle, such that sin a = k. Also, any angle co-terminal with the angles a , p - a is trigonometrically equivalent and so has the same 'sine'. ..

An alternating current is that which changes continuously in magnitude and periodically in direction. It can be represented by a sine curve or a cosine curve i.e., I = I o sin w t or I = I o = cos w t Here, I o is peak value of current and I is instantaneous value of current. w = ..

to q is the side AB. The hypotenuse of the D ABC is the side AC. Now, let us write down the trigonometrical ratios with the help of the above triangles: (i) Sine q : It is defined as the ratio of the side opposite to q and the hypotenuse. i.e., In short we write sin (ii) Cosine q : It is ..

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..