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Popular >

3(tan(x)+sin^2(x))-4=4tan(x)-3cos^2(x)

Solution

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

Solution

x = \frac{3 π}{4} + πn

+1

Solution steps

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

Subtract

4 tan (x) - 3 cos^{2} (x)

from both sides

- tan (x) + 3 sin^{2} (x) + 3 cos^{2} (x) - 4 = 0

Rewrite using trig identities

- 1 - tan (x) = 0

Move

1

to the right side

- tan (x) = 1

Divide both sides by

- 1

tan (x) = - 1

General solutions for

tan (x) = - 1

x = \frac{3 π}{4} + πn

Popular Examples

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cosh(x)=sinh(x)

cosh (x) = sinh (x)

Frequently Asked Questions (FAQ)

What is the general solution for 3(tan(x)+sin^2(x))-4=4tan(x)-3cos^2(x) ?
The general solution for 3(tan(x)+sin^2(x))-4=4tan(x)-3cos^2(x) is x=(3pi)/4+pin