What is the value of sin(25)cos(5)+cos(25)sin(5) ?

The value of sin(25)cos(5)+cos(25)sin(5) is 1/2

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sin(25)cos(5)+cos(25)sin(5)

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

\frac{1}{2}

Solution steps

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

Rewrite using trig identities:

sin (3 0^{\circ})

= sin (3 0^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

= \frac{1}{2}

arcsec (\frac{2}{2})

40 cos (4 5^{\circ})

cot (58 5^{\circ})

sec^{2} (\frac{π}{5})

cot (45 0^{\circ})

What is the value of sin(25)cos(5)+cos(25)sin(5) ?
The value of sin(25)cos(5)+cos(25)sin(5) is 1/2