What is the general solution for cos(θ)= 5/7 ,cos(θ/2),0<θ<90 ?

The general solution for cos(θ)= 5/7 ,cos(θ/2),0<θ<90 is No Solution for θ\in\mathbb{R}

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cos(θ)= 5/7 ,cos(θ/2),0<θ<90

cos (θ) = \frac{5}{7}, cos (\frac{θ}{2}), 0^{\circ} < θ < 9 0^{\circ}

No Solution for θ \in R

Solution steps

cos (θ) = \frac{5}{7}, cos (\frac{θ}{2}), 0^{\circ} < θ < 9 0^{\circ}

Apply trig inverse properties

cos (θ) = \frac{5}{7}

General solutions for

cos (θ) = \frac{5}{7}

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

θ = arccos (\frac{5}{7}) + 2 πn, θ = 2 π - arccos (\frac{5}{7}) + 2 πn

θ = arccos (\frac{5}{7}) + 2 πn, θ = 2 π - arccos (\frac{5}{7}) + 2 πn

Solutions for the range

cos (\frac{θ}{2})

No Solution for θ \in R

sin (x) + 4 = cos (x) + 3

\frac{sin ( 17 0 ^{\circ} )}{8} = \frac{sin ( B )}{5}

tan (x) = 0.01096

3 - 2 csc (x) = 17

2 sin (x) - 1 = 0.5

What is the general solution for cos(θ)= 5/7 ,cos(θ/2),0<θ<90 ?
The general solution for cos(θ)= 5/7 ,cos(θ/2),0<θ<90 is No Solution for θ\in\mathbb{R}