# The value of the expression cosec(750+ θ)-sec(150- θ)-tan(550+ θ)+cot(350- θ) is

We have,

cosec(75°+θ) – sec(15°-θ) - tan(55°+θ) + cot(35°-θ)

= cosec[90°-(15°-θ)] – sec(15°-θ) – tan(55°+θ) + cot[90°-(55°+θ)]

= sec(15°-θ) – sec(15°-θ) - tan(55°+θ) + tan(55°+θ) ( cosec (90°- θ) = sec θ and cot(90°-θ) = tan θ)

= 0

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