How do you write the expression #sin140^circcos50^circ+cos140^circsin50^circ# as the sine, cosine, or tangent of an angle?

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How do you write the expression #sin140^circcos50^circ+cos140^circsin50^circ# as the sine, cosine, or tangent of an angle?

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Answer 1 · 2017-08-05T20:15:46

The answer is #=sin(190^@)#

Explanation:

We need

#sin(a+b)=sina cosb+sinbcosa#

Here,

#a=140^@#

and

#b=50^@#

Therefore,

#sin140^@cos50^@+cos140^@sin50^@=sin(140^@+50^@)=sin190^@#

Answer 2 · 2017-08-05T20:20:29

#sin190^@#

Explanation:

#"using the "color(blue)"addition formula for sine"#

#•color(white)(x)sin(A+-B)=sinAcosB+-cosAsinB#

#"here "A=140" and "B=50#

#rArrsin(140+50)^@=sin190^@#

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How do you write the expression #sin140^circcos50^circ+cos140^circsin50^circ# as the sine, cosine, or tangent of an angle?

2 Answers

Explanation:

Explanation:

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