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State whether the following are true or ...

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^@`

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