What is the value of sin(35)cos(25)+cos(35)sin(25) ?

The value of sin(35)cos(25)+cos(35)sin(25) is (sqrt(3))/2

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sin(35)cos(25)+cos(35)sin(25)

sin (3 5^{\circ}) cos (2 5^{\circ}) + cos (3 5^{\circ}) sin (2 5^{\circ})

\frac{3}{2}

Solution steps

sin (3 5^{\circ}) cos (2 5^{\circ}) + cos (3 5^{\circ}) sin (2 5^{\circ})

Rewrite using trig identities:

sin (6 0^{\circ})

= sin (6 0^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

= \frac{3}{2}

arctan (53)

cot (\frac{9 π}{2})

arctan (- \frac{π}{6})

arctan (35)

tan (\frac{13 π}{8})

What is the value of sin(35)cos(25)+cos(35)sin(25) ?
The value of sin(35)cos(25)+cos(35)sin(25) is (sqrt(3))/2