Evaluate :
cosec (65° + A) - sec (25° - A)
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= cosec [(90° - 25°) + A] - sec (25° - A)
= cosec [90° - (25° - A)] - sec (25° - A)
= sec (25° - A) - sec (25° - A)
= 0
Hence, cosec (65° + A) - sec (25° - A) = 0.
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tan (55° - A) - cot (35° + A)