What is 2*cos(pi/4+α) ?

The solution to 2*cos(pi/4+α) is sqrt(2)cos(α)-sqrt(2)sin(α)

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simplify 2*cos(pi/4+α)

simplify

2 \cdot cos (\frac{π}{4} + α)

2 cos (α) - 2 sin (α)

Solution steps

2 cos (\frac{π}{4} + α)

Rewrite using trig identities

= 2 \cdot \frac{2 cos ( α ) - 2 sin ( α )}{2}

Simplify

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

= 2 cos (α) - 2 sin (α)

sin (\frac{75 π}{2} - 75 x)

tan (sin (- 1 (\frac{x}{2})))

sin (- 1^{n})

tan (arcsin (\frac{x}{8}))

csc (arccos (\frac{x}{10}))

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