What is the general solution for cos(a)=-4/9 , pi/2 <= a<= pi ?

The general solution for cos(a)=-4/9 , pi/2 <= a<= pi is a=2.03135…

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cos(a)=-4/9 , pi/2 <= a<= pi

cos (a) = - \frac{4}{9}, \frac{π}{2} \leq a \leq π

a = 2.03135 \dots

Degrees

a = 116.38779 \dots^{\circ}

Solution steps

cos (a) = - \frac{4}{9}, \frac{π}{2} \leq a \leq π

Apply trig inverse properties

cos (a) = - \frac{4}{9}

General solutions for

cos (a) = - \frac{4}{9}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

a = arccos (- \frac{4}{9}) + 2 πn, a = - arccos (- \frac{4}{9}) + 2 πn

a = arccos (- \frac{4}{9}) + 2 πn, a = - arccos (- \frac{4}{9}) + 2 πn

Solutions for the range

\frac{π}{2} \leq a \leq π

a = arccos (- \frac{4}{9})

Show solutions in decimal form

a = 2.03135 \dots

20 sin^{2} (x) - 26 sin (x) + 8 = 0

1.5 = 1 + 0.6 cos (\frac{π t}{2})

tan (x) csc (x) = cos (2)

x, z = e^{y} sin (x) y

tan (θ) sec (θ) = cot (θ) csc (θ)

What is the general solution for cos(a)=-4/9 , pi/2 <= a<= pi ?
The general solution for cos(a)=-4/9 , pi/2 <= a<= pi is a=2.03135…