Why is `sin(A+B)=sin A+sin B` false?. Justify your answer

sin (A+B) * sin (A-B)=

State whether the following are true or false. Justify your answer. (i) sin (A+B)=sin A+sin B . (ii) The value of sintheta increases as theta increases. (iii) The value of costheta increases as theta increases. (iv) sintheta=costheta for all values of theta (v) cot A is not defined for A = 0^@

Can the value of the expression (cos 80^(@) - sin 80^(@)) be negative ? Justify your answer.

a sin A-b sin B=c sin(A-B)

a sin A-b sin B=c sin(A-B)

a sin A-b sin B=c sin(A-B)

Classify the following statements as 'true' or 'false' : sin (A+B) =sinA + sin B for all values of A and B.

State whether the following are true or false. Justify your Solution. sin theta = 4/3 for some angle theta .

Using the formula of sin(A-B)=sin A cos B-cos A sin B find the value of sin15^(@)

Prove by vector method that sin(A-B)=sin A cos B-cos A sin B and sin(A+B)=sin A cos B+cos A sin B