Question

show that cos 4 a + sin 4 A + 2 sin square A cos square A = 1
Who will answer correct answer I will give him 100 extra points

Answer 1

Answer:

Look in pic pls....

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Answer 2

Question:

show that

cos⁴a + sin⁴a + 2sin²a cos²a = 1

Answer:

RHS:

$= > { \cos }^{4} a + { \sin }^{4} a +2 { \sin}^{2} a { \cos}^{2} a \\ \\ = > { \cos }^{4} a +{ \sin}^{2} a { \cos}^{2} a + { \sin}^{2} a { \cos}^{2} a + { \sin }^{4} a \\ \\ = > { \cos}^{2} a( { \cos}^{2} a + { \sin}^{2} a ) + { \sin}^{2} a( { \cos}^{2} a + { \sin}^{2} a ) \\ \\ = > ( { \cos}^{2} a + { \sin}^{2} a ) ( { \cos}^{2} a + { \sin}^{2} a ) \\ \\ = > {( { \cos}^{2} a + { \sin}^{2} a ) }^{2} \\ \\ = > {(1)}^{2} \\ \\ = > 1$

LHS:

=> 1

LHS = RHS

Hence Proved