What is the value of sin(20)cos(25)+cos(20)sin(25) ?

The value of sin(20)cos(25)+cos(20)sin(25) is (sqrt(2))/2

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sin(20)cos(25)+cos(20)sin(25)

sin (2 0^{\circ}) cos (2 5^{\circ}) + cos (2 0^{\circ}) sin (2 5^{\circ})

\frac{2}{2}

Solution steps

sin (2 0^{\circ}) cos (2 5^{\circ}) + cos (2 0^{\circ}) sin (2 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}

\frac{5}{cos ( 3 0 ^{\circ} )}

arcsin (0.51)

tan (8 3^{\circ})

cos (1.4)

400 cos (6 0^{\circ})

What is the value of sin(20)cos(25)+cos(20)sin(25) ?
The value of sin(20)cos(25)+cos(20)sin(25) is (sqrt(2))/2