the sin theorem

General solution of sin q = ..

Use the fundamental theorem of calculus, to evaluate ∫ 0 π sin ( x 2 ) dx . => 2 or 0 or 1 or 4 or - 2..

Using the fundamental theorem of calculus, evaluate ∫ o π sin 7 x d x . => - 2 7 or 2 7 or 2 or 0..

Use fundamental theorem of calculus, to evaluate ∫ 0 π/3 (2 sin x + 3 cos x ) dx . => 2 - 3 3 2 or 1 + 3 2 or 3 2 or 2 + 3 3 2 or 1 - 3 2..

Use Intermediate Value Theorem to choose the correct statements for the function f ( x ) = sin 2 x + cos 2 x . => II, IV only or I, II only or III, IV only or I, IV only or II, III only..

Use the fundamental theorem of calculus, to evaluate ∫ 0 π/2 e 2 x sin 2 x dx . => e π 2 or e π or e π 2 or 2 e π or e π 4..

Find the value of c that satisfies the conclusion of the mean value theorem for the function f ( x ) = cos x in [- π 2 , π 2 ] . => 0 or - sin - 1 ( 2 π ) or π 2 or sin - 1 ( 2 π )..

Fundamentals of Equations Algebraic and transcendental equations; If f(x) is a polynomial in x, then f(x) =0 is an algebraic equation. Example; x 7 + 5x - 2=0. If f(x) contains algebraic and non algebraic functions namely exponential, logarithmic, trigonometric and inverse trigonometric f..

One of the most important applications of De Moivre's theorem is to find the q t h roots of a complex number. Let z = x + iy be a complex number. Let z = r {cos q + i sin q } be its polar form. We have z = r {cos(2n p + q ) + i sin (2n p + q )} [2n p + q is the general..

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 ..