The value of sin5∘cos20∘−sin35∘cos50∘+cos5∘sin20∘−cos35∘sin50∘cos5∘cos20∘+cos35∘cos50∘−sin5∘sin20∘−sin35∘sin50∘ is

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The value of {{.{array}{c} {{{{5}}}^{{}}{{{{20}}}^{{}}+}}{{{{3

Question

The value of $\frac{cos 5 ^{\circ} cos 20 ^{\circ} + cos 35 ^{\circ} cos 50 ^{\circ} - sin 5 ^{\circ} sin 20 ^{\circ} - sin 35 ^{\circ} sin 50 ^{\circ}}{sin 5 ^{\circ} cos 20 ^{\circ} - sin 35 ^{\circ} cos 50 ^{\circ} + cos 5 ^{\circ} sin 20 ^{\circ} - cos 35 ^{\circ} sin 50 ^{\circ}}$ is

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The value of

\frac{cos 5 ^{\circ} cos 20 ^{\circ} + cos 35 ^{\circ} cos 50 ^{\circ} - sin 5 ^{\circ} sin 20 ^{\circ} - sin 35 ^{\circ} sin 50 ^{\circ}}{sin 5 ^{\circ} cos 20 ^{\circ} - sin 35 ^{\circ} cos 50 ^{\circ} + cos 5 ^{\circ} sin 20 ^{\circ} - cos 35 ^{\circ} sin 50 ^{\circ}}

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Question Text

The value of

\frac{cos 5 ^{\circ} cos 20 ^{\circ} + cos 35 ^{\circ} cos 50 ^{\circ} - sin 5 ^{\circ} sin 20 ^{\circ} - sin 35 ^{\circ} sin 50 ^{\circ}}{sin 5 ^{\circ} cos 20 ^{\circ} - sin 35 ^{\circ} cos 50 ^{\circ} + cos 5 ^{\circ} sin 20 ^{\circ} - cos 35 ^{\circ} sin 50 ^{\circ}}