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

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

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simplify 2cos(pi/4-x)

simplify

2 cos (\frac{π}{4} - x)

2 sin (\frac{π}{4} + x)

Solution steps

2 cos (\frac{π}{4} - x)

Rewrite using trig identities

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

Simplify

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

= 2 cos (x) + 2 sin (x)

Factor

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

= (cos (x) + sin (x)) 2

Rewrite using trig identities

= 2 sin (\frac{π}{4} + x)

sec (x - \frac{π}{2})

sec (arcsec (\frac{x}{4}))

sin^{2} (- cos^{2} (a))

cos (5.9 (0) + θ)

cot^{2} (\frac{π}{2} - x)