State whether the following are true or false. Justify your answer.
(i) sin (A+B) = sin A+sin B.
(ii) The value of sin increases as O increases.
(iii) The value of cos o increases as increases.
(iv) sin 0= cos e for all values of 0.
(v) cot A is not defined for A=0°.
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Answer:
i) False, sin (A + B) = sinACosB + CosAsin B.
iv) False, sinA is not equal to cosA for all values of A.
v) true, cot A is not defined for A = 0°.
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