What is the value of sin(20)cos(70)+cos(20)sin(70) ?

The value of sin(20)cos(70)+cos(20)sin(70) is 1

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sin(20)cos(70)+cos(20)sin(70)

sin (2 0^{\circ}) cos (7 0^{\circ}) + cos (2 0^{\circ}) sin (7 0^{\circ})

1

Solution steps

sin (2 0^{\circ}) cos (7 0^{\circ}) + cos (2 0^{\circ}) sin (7 0^{\circ})

Rewrite using trig identities:

sin (9 0^{\circ})

= sin (9 0^{\circ})

Use the following trivial identity:

sin (9 0^{\circ}) = 1

= 1

8 cos (2 5^{\circ})

\frac{e ^{0} sin ( 0 )}{0}

\frac{13}{tan ( 5 0 ^{\circ} )}

arccos (- \frac{9}{14 33})

sin^{2} (8 5^{\circ})

What is the value of sin(20)cos(70)+cos(20)sin(70) ?
The value of sin(20)cos(70)+cos(20)sin(70) is 1