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Implicit Differentiation

The value of ...

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The value of 2 sin A cos3 A – 2 sin 3 A cos A is

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sin A + {sin}^{2} A + {sin}^{3} A = 1

, then find the value of

{cos}^{6} A - 4 {cos}^{4} A + 8 {cos}^{2} A

\sqrt{2} sin A = sin B - {sin}^{3} B

\sqrt{2} cos A = cos B + {cos}^{3} B

, then the possible value(s) of

sin (A - B)

cos A = 3 / 4

then the value of

16 {cos}^{2} (A / 2) - 32 sin (A / 2) sin (5 A / 2)

Q. The value of 2 sin² B + 4 cos (A + B) sin A sin B + cos 2 (A + B) is

(a) 0
(b) cos 3 A
(c) cos 2 A
(d) None of these

s i n A : c o s A = 4 : 7

, then what is the value of

\frac{7 s i n A - 3 c o s A}{7 s i n A + 2 c o s A}

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