What is the value of 3sin(45)+4cos(45) ?

The value of 3sin(45)+4cos(45) is (7sqrt(2))/2

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3sin(45)+4cos(45)

3 sin (4 5^{\circ}) + 4 cos (4 5^{\circ})

\frac{7 2}{2}

Solution steps

3 sin (4 5^{\circ}) + 4 cos (4 5^{\circ})

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

= 3 \cdot \frac{2}{2} + 4 \cdot \frac{2}{2}

Simplify

3 \cdot \frac{2}{2} + 4 \cdot \frac{2}{2} : \frac{7 2}{2}

= \frac{7 2}{2}

sinh (0.5)

sec (0.8)

csc (3 0^{\circ}) + tan (4 5^{\circ})

cos (\frac{π}{6}) cos (\frac{π}{4}) - sin (\frac{π}{6}) sin (\frac{π}{4})

sin^{2} (36 0^{\circ})

What is the value of 3sin(45)+4cos(45) ?
The value of 3sin(45)+4cos(45) is (7sqrt(2))/2