simplify sin(a+45)

Solution

simplify

sin (a + 4 5^{\circ})

\frac{2 sin ( a ) + 2 cos ( a )}{2}

Solution steps

sin (a + 4 5^{\circ})

Rewrite using trig identities

= \frac{2 sin ( a ) + 2 cos ( a )}{2}

8 - 8 cos (π - θ)

ln ((cos (x) - sin (x + π))^{- 1})

sec (45 π + x) \cdot cot (24 π - x)

cos (108 0^{\circ} - θ)

3 sin (\frac{π}{2} - π t)

What is sin(a+45) ?
The solution to sin(a+45) is (sqrt(2)sin(a)+sqrt(2)cos(a))/2