Question 95

What is the simplified value of $$(\frac{cosecA}{cotA+tanA})^2$$ ?

Solution

Expression : $$(\frac{cosecA}{cotA+tanA})^2$$

= $$[(\frac{1}{sinA})\div(\frac{cosA}{sinA}+\frac{sinA}{cosA})]^2$$

= $$[(\frac{1}{sinA})\div(\frac{sin^2A+cos^2A}{sinAcosA})]^2$$

= $$(\frac{1}{sinA}\times \frac{sinAcosA}{1})^2$$

= $$(cosA)^2=cos^2A$$

= $$1-sin^2A$$

=> Ans - (B)

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: