Question

Calculate the value of the expression cosec (75° + O) - sec (15° - 0) - tan (55° + 0) + cot (35° - 0). ​

Answer 1

Answer:

The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is (A) – 1 (B) 0 (C) 1 (D) 3/2

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Answer 2

$cosec( {75}^{o} + θ) \: sec \: ( {15}^{o} - θ) \\ - tan( {55}^{o} - θ)+cot( {35}^{o} - θ)$

$= sec( {90}^{o} - {75}^{o} - θ) - sec( {15}^{o} - θ) \\ - \: cot( {90}^{o} - {55}^{o} - θ) cot( {35}^{o} \times θ)$

$= sec( {15}^{o} - θ) - sec( {15}^{o} - θ) \\ - cot( {35}^{o} +θ)+cot( {35}^{0} +θ) \\ </p><p>=0</p><p>$

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