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Trigonometric Ratios of Multiples of an Angle

Derive Sin2A

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Derive Sin2A

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| t a n A | < 1,

| A |

\frac{\sqrt{1 + s i n 2 A} + \sqrt{1 - s i n 2 A}}{\sqrt{1 + s i n 2 A} - \sqrt{1 - s i n 2 A}}

Q. Find the value of

\frac{\sqrt{1 + sin 2 A} + \sqrt{1 - sin 2 A}}{\sqrt{1 + sin 2 A} - \sqrt{1 - sin 2 A}}

| tan A | < 1

| A |

Prove it:

Cos²A-cos²A=sin²A-sin²A

Q. The value of

{sin}^{2} A + {sin}^{2} (A + B) - 2 sin A cos B sin (A + B)

B = 45^{\circ}

\frac{{sin}^{2} A}{{cos}^{2} A} + \frac{{cos}^{2} A}{{sin}^{2} A} = {sec}^{2} A c o s e c^{2} A - 2

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Trigonometric Ratios of Multiples of an Angle

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