What is the value of cos(10)cos(50)-sin(10)sin(50) ?

The value of cos(10)cos(50)-sin(10)sin(50) is 1/2

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cos(10)cos(50)-sin(10)sin(50)

cos (1 0^{\circ}) cos (5 0^{\circ}) - sin (1 0^{\circ}) sin (5 0^{\circ})

\frac{1}{2}

Solution steps

cos (1 0^{\circ}) cos (5 0^{\circ}) - sin (1 0^{\circ}) sin (5 0^{\circ})

Rewrite using trig identities:

cos (6 0^{\circ})

= cos (6 0^{\circ})

Use the following trivial identity:

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

= \frac{1}{2}

2 arccot (e^{c s c (- 1)})

2 tan (1 5^{\circ})

- 4 sin (\frac{3 π}{2})

3 tan (4 0^{\circ})

cot (\frac{2 π}{3}) - sin (\frac{3 π}{2})

What is the value of cos(10)cos(50)-sin(10)sin(50) ?
The value of cos(10)cos(50)-sin(10)sin(50) is 1/2