What is (tan(4x-3/4 pi))^2 ?

The solution to (tan(4x-3/4 pi))^2 is ((sin(4x)+cos(4x))^2)/((sin(4x)-cos(4x))^2)

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simplify (tan(4x-3/4 pi))^2

simplify

(tan (4 x - \frac{3}{4} π))^{2}

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

Solution steps

tan^{2} (4 x - \frac{3}{4} π)

Rewrite using trig identities

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

Simplify

(- \frac{sin ( 4 x ) + cos ( 4 x )}{sin ( 4 x ) - cos ( 4 x )})^{2} : \frac{( sin ( 4 x ) + cos ( 4 x ) ) ^{2}}{( sin ( 4 x ) - cos ( 4 x ) ) ^{2}}

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

cos (x) - cos (x + \frac{π}{2})

sin (2 π x) + sin (2 π x - π)

12 A \cdot sin (850 \cdot t - 0.23)

sec (18 0^{\circ} + θ)

- cos (x + π) + cos (x)

What is (tan(4x-3/4 pi))^2 ?
The solution to (tan(4x-3/4 pi))^2 is ((sin(4x)+cos(4x))^2)/((sin(4x)-cos(4x))^2)