What is the general solution for 7tan^2(θ)-4tan(θ)=0,-90<= θ<= 90 ?

The general solution for 7tan^2(θ)-4tan(θ)=0,-90<= θ<= 90 is θ=0.51914…,θ=0

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7tan^2(θ)-4tan(θ)=0,-90<= θ<= 90

7 tan^{2} (θ) - 4 tan (θ) = 0, - 9 0^{\circ} \leq θ \leq 9 0^{\circ}

θ = 0.51914 \dots, θ = 0

Solution steps

7 tan^{2} (θ) - 4 tan (θ) = 0, - 9 0^{\circ} \leq θ \leq 9 0^{\circ}

Solve by substitution

tan (θ) = \frac{4}{7}, tan (θ) = 0

tan (θ) = \frac{4}{7}, - 9 0^{\circ} \leq θ \leq 9 0^{\circ} : θ = arctan (\frac{4}{7})

tan (θ) = 0, - 9 0^{\circ} \leq θ \leq 9 0^{\circ} : θ = 0

Combine all the solutions

θ = arctan (\frac{4}{7}), θ = 0

Show solutions in decimal form

θ = 0.51914 \dots, θ = 0

3 - 4 sin^{2} (x) = 2 cos^{2} (x)

2 tan^{2} (α) = 2 tan (α)

cos^{2} (x) - sin^{2} (x) = - \frac{3}{4}

8 cos (8 x) = 0

sin (x) = 22

What is the general solution for 7tan^2(θ)-4tan(θ)=0,-90<= θ<= 90 ?
The general solution for 7tan^2(θ)-4tan(θ)=0,-90<= θ<= 90 is θ=0.51914…,θ=0