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Express sin 75° + cos 65° in terms of trigonometric ratios of angles between 0° and 45°.

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Express sin 75° + cos 65° in terms of trigonometric ratios of angles between 0° and 45°.

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We have sin 75° + cos 65° 

= sin (90° – 15°) + cos (90° – 25°) 

= cos 15° + sin 25° [∵ sin (90 – θ) = cos θ and cos (90 – θ) = sin θ]

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