What is cos(2t-(5pi)/6)-sin(2t) ?

The solution to cos(2t-(5pi)/6)-sin(2t) is -(sqrt(3))/2 cos(2t)-1/2 sin(2t)

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simplify cos(2t-(5pi)/6)-sin(2t)

simplify

cos (2 t - \frac{5 π}{6}) - sin (2 t)

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

Solution steps

cos (2 t - \frac{5 π}{6}) - sin (2 t)

Rewrite using trig identities

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

Add similar elements:

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

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

tan (arcsin (a))

sin (2 π - θ) - sin (θ)

sin (x - 3 0^{\circ}) - sin (2 x)

[cos (2 t - \frac{π}{3})]^{2}

1 + sec (27 0^{\circ} - x)

What is cos(2t-(5pi)/6)-sin(2t) ?
The solution to cos(2t-(5pi)/6)-sin(2t) is -(sqrt(3))/2 cos(2t)-1/2 sin(2t)