What is 5sin(2x-pi/4)+cos(2x) ?

The solution to 5sin(2x-pi/4)+cos(2x) is (5(sqrt(2)sin(2x)-sqrt(2)cos(2x)))/2+cos(2x)

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simplify 5sin(2x-pi/4)+cos(2x)

simplify

5 sin (2 x - \frac{π}{4}) + cos (2 x)

\frac{5 ( 2 sin ( 2 x ) - 2 cos ( 2 x ) )}{2} + cos (2 x)

Solution steps

5 sin (2 x - \frac{π}{4}) + cos (2 x)

Rewrite using trig identities

= 5 \cdot \frac{2 sin ( 2 x ) - 2 cos ( 2 x )}{2} + cos (2 x)

Multiply

5 \cdot \frac{2 sin ( 2 x ) - 2 cos ( 2 x )}{2} : \frac{5 ( 2 sin ( 2 x ) - 2 cos ( 2 x ) )}{2}

= \frac{5 ( 2 sin ( 2 x ) - 2 cos ( 2 x ) )}{2} + cos (2 x)

sin (18 0^{0} - β)

- cos (4 (\frac{π}{2}) + x)

sin^{2} (2 π x) + cos^{2} (2 π x)

\frac{2 d x}{sin ( x cos ( x ) )}

f (x) = 3 + cot (3) + cos (x) sec (3)

What is 5sin(2x-pi/4)+cos(2x) ?
The solution to 5sin(2x-pi/4)+cos(2x) is (5(sqrt(2)sin(2x)-sqrt(2)cos(2x)))/2+cos(2x)