What is the general solution for 9(cos(a))^2-9(sin(a))^2=0 ?

The general solution for 9(cos(a))^2-9(sin(a))^2=0 is a=(3pi)/4+pin,a= pi/4+pin

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9(cos(a))^2-9(sin(a))^2=0

9 (cos (a))^{2} - 9 (sin (a))^{2} = 0

a = \frac{3 π}{4} + πn, a = \frac{π}{4} + πn

Solution steps

9 (cos (a))^{2} - 9 (sin (a))^{2} = 0

Factor

9 (cos (a))^{2} - 9 (sin (a))^{2} : 9 (cos (a) + sin (a)) (cos (a) - sin (a))

9 (cos (a) + sin (a)) (cos (a) - sin (a)) = 0

Solving each part separately

cos (a) + sin (a) = 0 or cos (a) - sin (a) = 0

cos (a) + sin (a) = 0 : a = \frac{3 π}{4} + πn

cos (a) - sin (a) = 0 : a = \frac{π}{4} + πn

Combine all the solutions

a = \frac{3 π}{4} + πn, a = \frac{π}{4} + πn

1 - 2 cos^{2} (x) = 0, 0 \leq x \leq 2 π

2 sin (x - 2 0^{\circ}) + 1 = 0

9.2 cos (x) = 6.3

sec (x) + 3 tan (x) = 1 + 2 tan (x)

2 sin (3 x) = 0

What is the general solution for 9(cos(a))^2-9(sin(a))^2=0 ?
The general solution for 9(cos(a))^2-9(sin(a))^2=0 is a=(3pi)/4+pin,a= pi/4+pin