State whether the following are true or false. Justify your answer.

(i) $\sin(A + B) = \sin A + \sin B$ .

(ii) The value of $\sin \theta$ increases as $\theta$ increases.

(iii) The value of $\cos \theta$ increases as $\theta$ increases.

(iv) $\sin \theta = \cos \theta$ for all values of $\theta$ .

(v) $\cot A$ is not defined for $A = 0^\circ$ .

Question

State whether the following are true or false. Justify your answer.

**(i)** $\sin(A + B) = \sin A + \sin B$.

**(ii)** The value of $\sin 	heta$ increases as $	heta$ increases.

**(iii)** The value of $\cos 	heta$ increases as $	heta$ increases.

**(iv)** $\sin 	heta = \cos 	heta$ for all values of $	heta$.

**(v)** $\cot A$ is not defined for $A = 0^\circ$.

Accepted Answer

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Question 4