Question
What is the value of cos(x + y) - sin(x - y) +
tan(2z)?Solution
cos(x+y) = cosx·cosy − sinx·siny sin(x−y) = sinx·cosy − cosx·siny cos(x+y) − sin(x−y) = cosx·cosy − sinx·siny − sinx·cosy + cosx·siny tan(2z) = 2·tanz/(1 − tan²z) So the whole value is cosx·cosy − sinx·siny − sinx·cosy + cosx·siny + 2·tanz/(1 − tan²z) Hence, Option 2 is corect
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