Evaluate each of the followingsin 2 30-sin 2 45-sin 2 60-sin 2 60-sin 2 90-

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Relation between Trigonometric Ratios

Evaluate each...

Question

Evaluate each of the following

sin² 30° + sin² 45° + sin²60° + sin² 60° + sin² 90°

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Solution

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If ${sin}^{2} 45 - {sin}^{2} 60 = x {cos}^{2} 45$ then $x =$ ..............

{sin}^{2} 15^{\circ} + {sin}^{2} 30^{\circ} + {sin}^{2} 45^{\circ} + {sin}^{2} 60^{\circ} + {sin}^{2} 75^{\circ}

\frac{1}{c o t^{2} 30^{\circ}} + \frac{1}{s i n^{2} 60^{\circ}} - c o s^{2} 45^{\circ}

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