What is the general solution for sin(θ)=-(sqrt(21))/5 ?

The general solution for sin(θ)=-(sqrt(21))/5 is θ=-1.15927…+2pin,θ=pi+1.15927…+2pin

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sin(θ)=-(sqrt(21))/5

sin (θ) = - \frac{21}{5}

θ = - 1.15927 \dots + 2 πn, θ = π + 1.15927 \dots + 2 πn

Degrees

θ = - 66.42182 \dots^{\circ} + 36 0^{\circ} n, θ = 246.42182 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = - \frac{21}{5}

Apply trig inverse properties

sin (θ) = - \frac{21}{5}

General solutions for

sin (θ) = - \frac{21}{5}

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

θ = arcsin (- \frac{21}{5}) + 2 πn, θ = π + arcsin (\frac{21}{5}) + 2 πn

θ = arcsin (- \frac{21}{5}) + 2 πn, θ = π + arcsin (\frac{21}{5}) + 2 πn

Show solutions in decimal form

θ = - 1.15927 \dots + 2 πn, θ = π + 1.15927 \dots + 2 πn

t, cos (2 t) - sin (t) = o

cot (x) = - \frac{15}{8}

tan (x^{\circ}) = \frac{30}{73}

cos (x) = (\frac{1}{2})

- 2 cos (θ) + 23 = 3

What is the general solution for sin(θ)=-(sqrt(21))/5 ?
The general solution for sin(θ)=-(sqrt(21))/5 is θ=-1.15927…+2pin,θ=pi+1.15927…+2pin