Q23.The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is

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Q23.The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is

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(A) 1
(B) −1
(C) 0
(D) 1/2

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Class 10 Maths swatiqna 3 years 2021-12-23T11:32:51+00:00 2021-12-23T11:32:51+00:00 1 Answer 7 views Enlightened 0

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swatiqna Enlightened · Answer 1 · 2021-12-23T11:33:35+00:00

swatiqna Enlightened

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2021-12-23T11:33:35+00:00 December 23, 2021 at 11:33 am

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Answer: (C)
Explanation: Since
cosec (75° + θ) – sec (15° – θ) – tan
(55° + θ) + cot (35° – θ)
= cosec (75° + θ) – cosec [90° –
(15° – θ)] – tan (55° + θ) + tan [90°
– (35° – θ)]
= cosec (75° + θ) – cosec (75° + θ)
– tan (55° + θ) + tan (55° + θ)
= 0

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Q23.The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is