ΔDEF is right angled at E. If ∠D = 45°, then what is the value of cosecFcotD?
A. $$\frac{1}{{\sqrt 2 }}$$
B. $$2$$
C. $$\frac{1}{2}$$
D. $$\sqrt 2 $$
Answer: Option D
Solution (By Examveda Team)
$$\eqalign{ & \Rightarrow {\text{cosec F}} \times \cot {\text{D}} \cr & = {\text{cosec 4}}{{\text{5}}^ \circ } \times \cot {45^ \circ } \cr & = \sqrt 2 \times 1 \cr & = \sqrt 2 \cr} $$
This Question Belongs to Arithmetic Ability >> Circular Measurement Of Angle
Related Questions on Circular Measurement of Angle
If 0 ≤ θ ≤ $$\frac{\pi }{2}$$ and sec2θ + tan2θ = 7, then θ is
A. $$\frac{{5\pi }}{{12}}$$ radian
B. $$\frac{\pi }{3}$$ radian
C. $$\frac{\pi }{6}$$ radian
D. $$\frac{\pi }{2}$$ radian
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