What is the value of sin(35)cos(55)+cos(35)sin(55) ?

The value of sin(35)cos(55)+cos(35)sin(55) is 1

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sin(35)cos(55)+cos(35)sin(55)

sin (3 5^{\circ}) cos (5 5^{\circ}) + cos (3 5^{\circ}) sin (5 5^{\circ})

1

Solution steps

sin (3 5^{\circ}) cos (5 5^{\circ}) + cos (3 5^{\circ}) sin (5 5^{\circ})

Rewrite as

= sin (3 5^{\circ}) cos (5 5^{\circ}) + cos (3 5^{\circ}) sin (5 5^{\circ})

Rewrite using trig identities:

sin (9 0^{\circ})

= sin (9 0^{\circ})

Use the following trivial identity:

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

= 1

\frac{tan ( 7 1 ^{\circ} ) - tan ( 1 1 ^{\circ} )}{1 + tan ( 7 1 ^{\circ} ) tan ( 1 1 ^{\circ} )}

sin_{- 1} (1)

40 cos (4 0^{\circ})

sec (58 5^{\circ})

2 sin (1 0^{\circ}) cos (1 0^{\circ})

What is the value of sin(35)cos(55)+cos(35)sin(55) ?
The value of sin(35)cos(55)+cos(35)sin(55) is 1