What is the general solution for cos^2(s)= 3/4 ?

The general solution for cos^2(s)= 3/4 is s= pi/6+2pin,s=(11pi)/6+2pin,s=(5pi)/6+2pin,s=(7pi)/6+2pin

Popular >

cos^2(s)= 3/4

cos^{2} (s) = \frac{3}{4}

s = \frac{π}{6} + 2 πn, s = \frac{11 π}{6} + 2 πn, s = \frac{5 π}{6} + 2 πn, s = \frac{7 π}{6} + 2 πn

Solution steps

cos^{2} (s) = \frac{3}{4}

Solve by substitution

cos (s) = \frac{3}{2}, cos (s) = - \frac{3}{2}

cos (s) = \frac{3}{2} : s = \frac{π}{6} + 2 πn, s = \frac{11 π}{6} + 2 πn

cos (s) = - \frac{3}{2} : s = \frac{5 π}{6} + 2 πn, s = \frac{7 π}{6} + 2 πn

Combine all the solutions

s = \frac{π}{6} + 2 πn, s = \frac{11 π}{6} + 2 πn, s = \frac{5 π}{6} + 2 πn, s = \frac{7 π}{6} + 2 πn

tan (\frac{θ}{2} + \frac{π}{4}) = 1, 0 \leq θ \leq 2 π

sin (x + \frac{π}{6}) + sin (x - \frac{π}{6}) = \frac{3}{2}

c, s = \frac{sin ^{2} ( c )}{2}

3 sin^{2} (θ) + 4 cos^{2} (θ) = 4

tan^{2} (x) - 3 tan (x) - 2 = 0

What is the general solution for cos^2(s)= 3/4 ?
The general solution for cos^2(s)= 3/4 is s= pi/6+2pin,s=(11pi)/6+2pin,s=(5pi)/6+2pin,s=(7pi)/6+2pin