What is the value of 2sin(75)cos(15) ?

The value of 2sin(75)cos(15) is 1+(sqrt(3))/2

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2sin(75)cos(15)

2 sin (7 5^{\circ}) cos (1 5^{\circ})

1 + \frac{3}{2}

Solution steps

2 sin (7 5^{\circ}) cos (1 5^{\circ})

Rewrite using trig identities:

sin (9 0^{\circ}) + sin (6 0^{\circ})

= sin (9 0^{\circ}) + sin (6 0^{\circ})

Use the following trivial identity:

sin (9 0^{\circ}) = 1

Use the following trivial identity:

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

= 1 + \frac{3}{2}

25 cos (3 7^{\circ})

100 \cdot sin (2 0^{\circ})

arctan (\frac{2.6}{- 1.1})

sin (\frac{1}{\frac{2}{9 π}})

- 1160 sin (4 6^{\circ}) + 570 sin (2 2^{\circ})

What is the value of 2sin(75)cos(15) ?
The value of 2sin(75)cos(15) is 1+(sqrt(3))/2