If sin2 A + cos2 A + 4x sin2 A cos2 A = 8 sin2 A cos2 A + 1; the value of x is : 1. 2 2. 1 3. 4. -2

Given, ⇒ sin2 A + cos2 A + 4x sin2 A cos2 A = 8 sin2 A cos2 A + 1 ⇒ 1 + 4x sin2 A cos2 A = 8 sin2 A cos2 A + 1 ⇒ 4x sin2 A cos2 A = 8 sin2 A cos2 A ⇒ 4x = 8 ⇒ x = = 2. Hence, Option 1 is the correct option.

Mathematics

If sin² A + cos² A + 4x sin² A cos² A = 8 sin² A cos² A + 1; the value of x is :
2
1
$\dfrac{1}{2}$
-2

Trigonometric Identities

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Answer

Given,

⇒ sin² A + cos² A + 4x sin² A cos² A = 8 sin² A cos² A + 1

⇒ 1 + 4x sin² A cos² A = 8 sin² A cos² A + 1

⇒ 4x sin² A cos² A = 8 sin² A cos² A

⇒ 4x = 8

⇒ x = $\dfrac{8}{4}$ = 2.

Hence, Option 1 is the correct option.

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Mathematics

If sin² A + cos² A + 4x sin² A cos² A = 8 sin² A cos² A + 1; the value of x is :
2
1
$\dfrac{1}{2}$
-2

Trigonometric Identities

Answer

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