What is the general solution for cos^2(x)+sin^3(x)=0 ?

The general solution for cos^2(x)+sin^3(x)=0 is x=-0.85546…+2pin,x=pi+0.85546…+2pin

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cos^2(x)+sin^3(x)=0

cos^{2} (x) + sin^{3} (x) = 0

x = - 0.85546 \dots + 2 πn, x = π + 0.85546 \dots + 2 πn

Solution steps

cos^{2} (x) + sin^{3} (x) = 0

Rewrite using trig identities

1 - sin^{2} (x) + sin^{3} (x) = 0

Solve by substitution

sin (x) \approx - 0.75487 \dots

sin (x) = - 0.75487 \dots : x = arcsin (- 0.75487 \dots) + 2 πn, x = π + arcsin (0.75487 \dots) + 2 πn

Combine all the solutions

x = arcsin (- 0.75487 \dots) + 2 πn, x = π + arcsin (0.75487 \dots) + 2 πn

Show solutions in decimal form

x = - 0.85546 \dots + 2 πn, x = π + 0.85546 \dots + 2 πn

c, e = r (sec (\frac{c}{2}) - 1)

arctan (\frac{x}{3}) + arctan (\frac{x}{2}) = arctan (x)

w, y = arctan (1 + 4 w)

cos (8 x) = 1

cos^{4} (a) = 8 cos^{4} (a) - 8 cos^{2} (a) + 1

What is the general solution for cos^2(x)+sin^3(x)=0 ?
The general solution for cos^2(x)+sin^3(x)=0 is x=-0.85546…+2pin,x=pi+0.85546…+2pin