a) Solve the following function (Hint: tan (A+B) =: tan A + tan B 1 -...

 

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a) Solve the following function (Hint: tan (A+B) =: tan A + tan B 1 - tan A tan B .) tan (2x) + tan (x) = tan (3) b) Use the triangle method to evaluate sin [2 cos(x)+] (6 marks) (5 marks) c) Given y = tanh 1(x), XER, |x| <1. Use definition of hyperbolic functions in terms of exponentials, prove that 1 y = 1 In (1+x) (6 marks) a) Solve the following function (Hint: tan (A+B) =: tan A + tan B 1 - tan A tan B .) tan (2x) + tan (x) = tan (3) b) Use the triangle method to evaluate sin [2 cos(x)+] (6 marks) (5 marks) c) Given y = tanh 1(x), XER, |x| <1. Use definition of hyperbolic functions in terms of exponentials, prove that 1 y = 1 In (1+x) (6 marks)