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The value of expression cot(25° - θ) - sec(35° - θ) - tan(65° + θ) + cosec(55° + θ). 
1. 2
2. 1
3. 0
4. -1

1 Answer

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Correct Answer - Option 3 : 0

Calculation: 

cot(25° - θ) - sec(35° - θ) - tan(65° + θ) + cosec(55° + θ)

⇒ cot(25° - θ) - sec(35° - θ) - tan[90° - (25° - θ)] + cosec[90° - (35° - θ)]

⇒ cot(25° - θ) - sec(35° - θ) - cot(25° - θ) + sec(35° - θ)

⇒ 0

∴ The required value is 0.

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