What is the value of sqrt(2)cos(-pi/4)+pi/4 ?

The value of sqrt(2)cos(-pi/4)+pi/4 is 1+pi/4

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sqrt(2)cos(-pi/4)+pi/4

2 cos (- \frac{π}{4}) + \frac{π}{4}

1 + \frac{π}{4}

Solution steps

2 cos (- \frac{π}{4}) + \frac{π}{4}

Rewrite using trig identities:

cos (- \frac{π}{4}) = \frac{2}{2}

= 2 \frac{2}{2} + \frac{π}{4}

Simplify

2 \frac{2}{2} + \frac{π}{4} : 1 + \frac{π}{4}

= 1 + \frac{π}{4}

sin (- 8 π)

sin (\frac{π}{2} + 1)

cos (\frac{3 π}{5}) cos (\frac{7 π}{30}) - sin (\frac{3 π}{5}) sin (\frac{7 π}{30})

- \frac{1}{4} csc (2 (- \frac{π}{2})^{2})

sec (\frac{π}{16})

What is the value of sqrt(2)cos(-pi/4)+pi/4 ?
The value of sqrt(2)cos(-pi/4)+pi/4 is 1+pi/4