What is the value of sin(10)cos(35)+cos(10)sin(35) ?

The value of sin(10)cos(35)+cos(10)sin(35) is (sqrt(2))/2

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sin(10)cos(35)+cos(10)sin(35)

sin (1 0^{\circ}) cos (3 5^{\circ}) + cos (1 0^{\circ}) sin (3 5^{\circ})

\frac{2}{2}

Solution steps

sin (1 0^{\circ}) cos (3 5^{\circ}) + cos (1 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}

2 cos (\frac{π}{5})

tan (- 75 0^{\circ})

cos^{2} (\frac{π}{13}) - sin^{2} (\frac{π}{13})

\frac{sin ( 3 )}{1 - sin ( 3 )}

cos (3 \frac{π}{3})

What is the value of sin(10)cos(35)+cos(10)sin(35) ?
The value of sin(10)cos(35)+cos(10)sin(35) is (sqrt(2))/2