What is the value of sqrt(4sin^2(pi/4)+49cos^2(pi/4)) ?

The value of sqrt(4sin^2(pi/4)+49cos^2(pi/4)) is sqrt(53/2)

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sqrt(4sin^2(pi/4)+49cos^2(pi/4))

4 sin^{2} (\frac{π}{4}) + 49 cos^{2} (\frac{π}{4})

\frac{53}{2}

Solution steps

4 sin^{2} (\frac{π}{4}) + 49 cos^{2} (\frac{π}{4})

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

= 4 (\frac{2}{2})^{2} + 49 (\frac{2}{2})^{2}

Simplify

4 (\frac{2}{2})^{2} + 49 (\frac{2}{2})^{2} : \frac{53}{2}

= \frac{53}{2}

sin (\frac{6 π}{6})

e^{1} + 2^{- 1} + 2 cos (1) - 6

sin (6) - sin (4)

sec (7)

- cos (\frac{5 π}{4}) - sin (\frac{5 π}{4})

What is the value of sqrt(4sin^2(pi/4)+49cos^2(pi/4)) ?
The value of sqrt(4sin^2(pi/4)+49cos^2(pi/4)) is sqrt(53/2)