Examveda

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)

Circular Measurement of Angle mcq question image
$$\eqalign{ & \Rightarrow {\text{cosec F}} \times \cot {\text{D}} \cr & = {\text{cosec 4}}{{\text{5}}^ \circ } \times \cot {45^ \circ } \cr & = \sqrt 2 \times 1 \cr & = \sqrt 2 \cr} $$

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