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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