Without using trigonometric tables evaluate: (sin 25/ sec 65) + ( cos 25/ cosec 65)
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(sin 25° / sec 65°) + (cos 25° / cosec 65°)
(sin 25° × cos 65°) + (cos 25° × sin 65°)
[sin 25° × cos (90° - 25°)] + [cos 25° × sin(90° - 25°)]
(sin 25° × sin 25°) + (cos 25° × cos 25°)
(sin²25° + cos²25°) = 1
(sin 25° × cos 65°) + (cos 25° × sin 65°)
[sin 25° × cos (90° - 25°)] + [cos 25° × sin(90° - 25°)]
(sin 25° × sin 25°) + (cos 25° × cos 25°)
(sin²25° + cos²25°) = 1
Anurag19:
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