What is the factor of 2sin²x-cos²x ?
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Step-by-step explanation:
Given---> 2 Sin²x - Cos²x
To find---> Factor of given expression
Solution---> 2 Sin²x - Cos²x
= 2 ( 1 - Cos²x ) - Cos²x
= 2 - 2 Cos²x - Cos²x
= 2 - 3 Cos²x
= √2 - ( √3 Cosx )²
= ( √2 + √3 Cosx ) ( √2 - √3 Cosx )
Additional identities--->
1) Sin²θ + Cos²θ = 1
2) 1 + tan²θ = Sec²θ
3) 1 + Cot²θ = Cosec²θ
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