What is the value of sin(80)cos(35)-cos(80)sin(35) ?

The value of sin(80)cos(35)-cos(80)sin(35) is (sqrt(2))/2

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sin(80)cos(35)-cos(80)sin(35)

sin (8 0^{\circ}) cos (3 5^{\circ}) - cos (8 0^{\circ}) sin (3 5^{\circ})

\frac{2}{2}

Solution steps

sin (8 0^{\circ}) cos (3 5^{\circ}) - cos (8 0^{\circ}) sin (3 5^{\circ})

Rewrite using trig identities:

sin (4 5^{\circ})

= sin (4 5^{\circ})

Use the following trivial identity:

sin (4 5^{\circ}) = \frac{2}{2}

= \frac{2}{2}

arcsin (0.527)

arccos (\frac{8}{870})

cot (4 6^{\circ})

sin (247. 5^{\circ})

49 \cdot sin (3 0^{\circ})

What is the value of sin(80)cos(35)-cos(80)sin(35) ?
The value of sin(80)cos(35)-cos(80)sin(35) is (sqrt(2))/2