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Popular >

3tan^2(x+15)-1=0

Solution

3 tan^{2} (x + 1 5^{\circ}) - 1 = 0

Solution

x = 18 0^{\circ} n + 1 5^{\circ}, x = 18 0^{\circ} n - 4 5^{\circ}

+1

Solution steps

3 tan^{2} (x + 1 5^{\circ}) - 1 = 0

Solve by substitution

tan (x + 1 5^{\circ}) = \frac{1}{3}, tan (x + 1 5^{\circ}) = - \frac{1}{3}

tan (x + 1 5^{\circ}) = \frac{1}{3} : x = 18 0^{\circ} n + 1 5^{\circ}

tan (x + 1 5^{\circ}) = - \frac{1}{3} : x = 18 0^{\circ} n - 4 5^{\circ}

Combine all the solutions

x = 18 0^{\circ} n + 1 5^{\circ}, x = 18 0^{\circ} n - 4 5^{\circ}

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Frequently Asked Questions (FAQ)

What is the general solution for 3tan^2(x+15)-1=0 ?
The general solution for 3tan^2(x+15)-1=0 is x=180n+15,x=180n-45