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

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

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

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

\frac{1}{2}

Solution steps

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

cos (7 9^{\circ})

arcsin (0.96)

arcsin (0.83)

arcsin (0.73)

arcsin (0.71)

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