What is the value of sin(60)cos(45)+cos(60)sin(45) ?

The value of sin(60)cos(45)+cos(60)sin(45) is (sqrt(2)(sqrt(3)+1))/4

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sin(60)cos(45)+cos(60)sin(45)

sin (6 0^{\circ}) cos (4 5^{\circ}) + cos (6 0^{\circ}) sin (4 5^{\circ})

\frac{2 ( 3 + 1 )}{4}

Solution steps

sin (6 0^{\circ}) cos (4 5^{\circ}) + cos (6 0^{\circ}) sin (4 5^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

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

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

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

= \frac{3}{2} \cdot \frac{2}{2} + \frac{1}{2} \cdot \frac{2}{2}

Simplify

\frac{3}{2} \cdot \frac{2}{2} + \frac{1}{2} \cdot \frac{2}{2} : \frac{2 ( 3 + 1 )}{4}

= \frac{2 ( 3 + 1 )}{4}

sin (105 0^{\circ})

sec (0) + tan (0)

cos (2) (\frac{π}{6})

arccos (sin (- \frac{7 π}{6}))

arctan (\frac{2}{- 3})

What is the value of sin(60)cos(45)+cos(60)sin(45) ?
The value of sin(60)cos(45)+cos(60)sin(45) is (sqrt(2)(sqrt(3)+1))/4