Mathematics

Evaluate :

tan (55° - A) - cot (35° + A)

Trigonometric Identities

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Answer

tan (55° - A) - cot (35° + A)

= tan [(90° - 35°) - A] - cot (35° + A)

= tan [90° - (35° + A)] - cot (35° + A)

= cot (35° + A) - cot (35° + A)

= 0

Hence, tan (55° - A) - cot (35° + A) = 0.

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