UPSKILL MATH PLUS

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State whether the following are true or false. Justify your answer.
 
1. \(sin \ (A + B) = sin \ A + sin \ B\).
 
2. The value of \(sin \ \theta\) increases as \(\theta\) increases.
 
3. The value of \(cos \ \theta\) increases as \(\theta\) increases.
 
4. \(sin \ \theta = cos \ \theta\) for all values of \(\theta\).
 
5. \(cot \ A\) is not defined for \(A = 0^{\circ}\).