What is (sin(t-pi/6))^2 ?

The solution to (sin(t-pi/6))^2 is 3/4 sin^2(t)-(sqrt(3))/2 sin(t)cos(t)+1/4 cos^2(t)

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simplify (sin(t-pi/6))^2

simplify

(sin (t - \frac{π}{6}))^{2}

\frac{3}{4} sin^{2} (t) - \frac{3}{2} sin (t) cos (t) + \frac{1}{4} cos^{2} (t)

Solution steps

sin^{2} (t - \frac{π}{6})

Rewrite using trig identities

= (\frac{3}{2} sin (t) - \frac{1}{2} cos (t))^{2}

Simplify

(\frac{3}{2} sin (t) - \frac{1}{2} cos (t))^{2} : \frac{3}{4} sin^{2} (t) - \frac{3}{2} sin (t) cos (t) + \frac{1}{4} cos^{2} (t)

= \frac{3}{4} sin^{2} (t) - \frac{3}{2} sin (t) cos (t) + \frac{1}{4} cos^{2} (t)

\frac{tan ( e ) ( x )}{cos ( x )}

s sin^{2} (π - x)

sin (cos^{(- 1)} (x))

- A cos (- \frac{π}{2})

e^{x^{2}} + \frac{1}{sin ( x )}

What is (sin(t-pi/6))^2 ?
The solution to (sin(t-pi/6))^2 is 3/4 sin^2(t)-(sqrt(3))/2 sin(t)cos(t)+1/4 cos^2(t)