Question 96

What is the simplified value of $$(cos^4 A - sin^4 A)$$?

Solution

Expression : $$(cos^4 A - sin^4 A)$$

= $$(cos^2A-sin^2A)(cos^2A+sin^2A)$$

$$\because(cos^2A+sin^2A=1)$$

= $$(cos^2A-sin^2A)(1)=cos^2A-sin^2A$$

= $$cos2A$$

=> Ans - (C)

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