What is the general solution for sin(θ)=-7/25 ,cos(θ/2),270<θ<360 ?

The general solution for sin(θ)=-7/25 ,cos(θ/2),270<θ<360 is No Solution for θ\in\mathbb{R}

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sin(θ)=-7/25 ,cos(θ/2),270<θ<360

sin (θ) = - \frac{7}{25}, cos (\frac{θ}{2}), 27 0^{\circ} < θ < 36 0^{\circ}

No Solution for θ \in R

Solution steps

sin (θ) = - \frac{7}{25}, cos (\frac{θ}{2}), 27 0^{\circ} < θ < 36 0^{\circ}

Apply trig inverse properties

sin (θ) = - \frac{7}{25}

General solutions for

sin (θ) = - \frac{7}{25}

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

θ = arcsin (- \frac{7}{25}) + 2 πn, θ = π + arcsin (\frac{7}{25}) + 2 πn

θ = arcsin (- \frac{7}{25}) + 2 πn, θ = π + arcsin (\frac{7}{25}) + 2 πn

Solutions for the range

cos (\frac{θ}{2})

No Solution for θ \in R

What is the general solution for sin(θ)=-7/25 ,cos(θ/2),270<θ<360 ?
The general solution for sin(θ)=-7/25 ,cos(θ/2),270<θ<360 is No Solution for θ\in\mathbb{R}