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Evaluate: cos75∘sin15∘+sin12∘cos78∘-cos18∘sin72∘ - Mathematics

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प्रश्न

Evaluate:

`(cos75^@)/(sin15^@) + (sin12^@)/(cos78^@) - (cos18^@)/(sin72^@)`

मूल्यांकन
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उत्तर

`(cos75^@)/(sin15^@) + (sin12^@)/(cos78^@) - (cos18^@)/(sin72^@)`

= `(cos(90^@ - 15^@))/(sin15^@) + (sin(90^@ - 78^@))/(cos78^@) - (cos(90^@ - 72^@))/(sin72^@)`

= `(sin15^@)/(sin15^@) + (cos78^@)/(cos78^@) - (sin72^@)/(sin72^@)`

= 1 + 1 – 1

= 1

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