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Mathematics

Evaluate :

tan(55° - A) - cot(35° + A)

Trigonometric Identities

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Answer

Solving,

⇒ tan(55° - A) - cot(35° + A)

⇒ tan[90° - (35° + A)] - cot(35° + A)

By formula,

tan(90° - θ) = cot θ

⇒ cot(35° + A) - cot(35° + A)

⇒ 0.

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

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