simplify cos(x-135)

Solution

simplify

cos (x - 13 5^{\circ})

sin (- \frac{π}{4} + x)

Solution steps

cos (x - 13 5^{\circ})

Rewrite using trig identities

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

Factor

- cos (x) 2 + sin (x) 2 : 2 (- cos (x) + sin (x))

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

Rewrite using trig identities

= sin (- \frac{π}{4} + x)

sin (kn + \frac{π}{3}) + e^{- 0.3 n}

sin (a - 18 0^{\circ})

tan (arcsec (\frac{x}{7}))

\frac{1}{sec ^{2} ( y )} d y

sin (π x - π)