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

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

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

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

1

Solution steps

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

cot (\frac{12}{5})

cos^{3} (2)

sec (5 5^{\circ})

4 sec (- \frac{π}{3})

26 sin (4 5^{\circ})

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