What is 2sin(3x+pi/4)-1 ?

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

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simplify 2sin(3x+pi/4)-1

simplify

2 sin (3 x + \frac{π}{4}) - 1

2 sin (3 x) + 2 cos (3 x) - 1

Solution steps

2 sin (3 x + \frac{π}{4}) - 1

Rewrite using trig identities

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

2 \cdot \frac{2 sin ( 3 x ) + 2 cos ( 3 x )}{2} = 2 sin (3 x) + 2 cos (3 x)

= 2 sin (3 x) + 2 cos (3 x) - 1

sin (\frac{π}{6} + θ)

sin (arccos (10 x))

3 sin (- x)

tan^{2} (9 0^{\circ} - θ)

tan (- arctan (1) + c)

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