Question 31

What is the value of $$tan^4A + tan^2A$$?

Solution

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Expression : $$tan^4A + tan^2A$$

= $$tan^2 A(tan^2 A + 1)$$

Using $$(sec^2 A - tan^2 A) = 1$$

= $$(sec^2 A - 1) sec^2 A$$

= $$sec^4 A - sec^2 A$$

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