What is the value of cos(190)cos(10)+sin(190)sin(10) ?

The value of cos(190)cos(10)+sin(190)sin(10) is -1

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cos(190)cos(10)+sin(190)sin(10)

cos (19 0^{\circ}) cos (1 0^{\circ}) + sin (19 0^{\circ}) sin (1 0^{\circ})

- 1

Solution steps

cos (19 0^{\circ}) cos (1 0^{\circ}) + sin (19 0^{\circ}) sin (1 0^{\circ})

Rewrite using trig identities:

cos (18 0^{\circ})

= cos (18 0^{\circ})

Use the following trivial identity:

cos (18 0^{\circ}) = (- 1)

= - 1

arcsin (sin (\frac{11 π}{8}))

sin (17 0^{\circ})

arcsin (\frac{3}{4})

cot (0) \cdot sin (0)

2 cos^{2} (\frac{5 π}{8}) - 1

What is the value of cos(190)cos(10)+sin(190)sin(10) ?
The value of cos(190)cos(10)+sin(190)sin(10) is -1