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Question
The value of `(cos(90^circ + θ) sec(-θ)tan(180^circ - θ))/(sec(360^circ - θ)sin(180^circ + θ)cot(90^circ - θ))` is ______.
Options
– 2
– 1
1
2
MCQ
Fill in the Blanks
Solution
The value of `(cos(90^circ + θ) sec(-θ)tan(180^circ - θ))/(sec(360^circ - θ)sin(180^circ + θ)cot(90^circ - θ))` is – 1.
Explanation:
`(cos(90^circ + θ) sec(-θ)tan(180^circ - θ))/(sec(360^circ - θ)sin(180^circ + θ)cot(90^circ - θ))`
= `((- sin θ) sec θ(- tan θ))/(secθ(- sin θ) tan θ)`
= – 1
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Trigonometric Functions of Allied Angels
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