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2 votes
Cos 50° cos 60° - Sin 50° Sin60°​

User Creature
by
4.9k points

2 Answers

6 votes

Hi :)

Like i just mentioned we can solve using trig identity


\tt{cos(a)+cos(b)-sin(a)sin(b)=cos(a+b)}

Now we can substitute numbers into the formula


\tt{cos50cos60-sin50sin60}

Add
\tt{50}, and
\tt{60}


\tt{cos(110)}

Learn more,work harder

User Anthropic
by
6.2k points
2 votes

Answer:

cos110°

Explanation:

using the identity

cos(a + b) = cosacosb - sinasinb

then

cos50°cos60° - sin50°cos60°

= cos(50 + 60)°

= cos110°