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Question
The value of the expression [cosec(75° + θ) – sec(15° – θ) – tan(55° + θ) + cot(35° – θ)] is ______.
Options
– 1
0
1
`3/2`
Solution
The value of the expression [cosec(75° + θ) – sec(15° – θ) – tan(55° + θ) + cot(35° – θ)] is 0.
Explanation:
According to the question,
We have to find the value of the equation,
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)]
Since, cosec(90° – θ) = sec θ
And cot(90° – θ) = tan θ
We get,
= sec(15° – θ) – sec(15° – θ) – tan(55° + θ) + tan(55° + θ)
= 0
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