What is the value of sin(50)cos(40)+cos(50)sin(40) ?

The value of sin(50)cos(40)+cos(50)sin(40) is 1

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sin(50)cos(40)+cos(50)sin(40)

sin (5 0^{\circ}) cos (4 0^{\circ}) + cos (5 0^{\circ}) sin (4 0^{\circ})

1

Solution steps

sin (5 0^{\circ}) cos (4 0^{\circ}) + cos (5 0^{\circ}) sin (4 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

15 \cdot sin (4 0^{\circ})

5 sec^{2} (\frac{π}{4})

\frac{12}{sin ( 6 0 ^{\circ} )}

sin (17 0^{\circ}) cos (2 0^{\circ}) - cos (17 0^{\circ}) sin (2 0^{\circ})

sin (6 0^{\circ}) \cdot 12

What is the value of sin(50)cos(40)+cos(50)sin(40) ?
The value of sin(50)cos(40)+cos(50)sin(40) is 1