What is (sin(a)+cos(a))^2+(sin^2(a)-cos^2(a)) ?

The solution to (sin(a)+cos(a))^2+(sin^2(a)-cos^2(a)) is sin(2a)+1-cos(2a)

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simplify (sin(a)+cos(a))^2+(sin^2(a)-cos^2(a))

simplify

(sin (a) + cos (a))^{2} + (sin^{2} (a) - cos^{2} (a))

sin (2 a) + 1 - cos (2 a)

Solution steps

(sin (a) + cos (a))^{2} + (sin^{2} (a) - cos^{2} (a))

Use the Double Angle identity:

cos^{2} (x) - sin^{2} (x) = cos (2 x)

- cos^{2} (x) + sin^{2} (x) = - cos (2 x)

= (cos (a) + sin (a))^{2} - cos (2 a)

Simplify

(cos (a) + sin (a))^{2} : sin (2 a) + 1

= sin (2 a) + 1 - cos (2 a)

64 a^{4} + 54 a

4 x^{2} + 12 x + 10

\frac{( x ^{20} )}{( 4 y ^{2} )}

\frac{( 3 x - 4 )}{( x ^{2} - 7 x + 5 )}

\frac{( x ^{2} + 4 x + 4 )}{( x + 2 )}

What is (sin(a)+cos(a))^2+(sin^2(a)-cos^2(a)) ?
The solution to (sin(a)+cos(a))^2+(sin^2(a)-cos^2(a)) is sin(2a)+1-cos(2a)