What is the value of cos(310)cos(50)-sin(310)sin(50) ?

The value of cos(310)cos(50)-sin(310)sin(50) is 1

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cos(310)cos(50)-sin(310)sin(50)

cos (31 0^{\circ}) cos (5 0^{\circ}) - sin (31 0^{\circ}) sin (5 0^{\circ})

1

Solution steps

cos (31 0^{\circ}) cos (5 0^{\circ}) - sin (31 0^{\circ}) sin (5 0^{\circ})

Rewrite using trig identities:

cos (0)

= cos (0)

Use the following trivial identity:

cos (0) = 1

= 1

arctan (\frac{6}{- 6})

cos (\frac{29 π}{12})

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

tan (arccos (\frac{24}{25}) - arcsin (\frac{12}{13}))

cot (2 9^{\circ})

What is the value of cos(310)cos(50)-sin(310)sin(50) ?
The value of cos(310)cos(50)-sin(310)sin(50) is 1