Question 94

What is the simplified value of $$cosec2A + cot2A$$ ?

Solution

Expression : $$cosec2A + cot2A$$

= $$\frac{1}{sin2A}+\frac{cos2A}{sin2A}$$

= $$\frac{1+cos2A}{sin2A}$$

= $$\frac{1+(2cos^2A-1)}{2sinAcosA}$$

= $$\frac{2cos^2A}{2sinAcosA}$$

= $$\frac{cosA}{sinA}=cotA$$

=> Ans - (C)

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