Suppose that a and b are pieces of metal which are hinged at C. At first the angle A is ?/4 radians=45o and the angle B is ?/3 radians = 60o. You then widen A to 46o, without changing the sides a and b. Our goal in this problem is to use the tangent line approximation to estimate the angle B.(a) Notice that the angle B is a function of the angle A; i. e. B=f(A). Consequently, it makes sense to calculate the implicit derivative:dB/dA=(?3) / (?2)=(b) CalculatedB/dAwhen A=?/4 and B=?/3; leave your answer in EXACT FORM:(c) Write the linear approximation of f at A= ?/4:(A � ?/4) +(d) Using (c), when A= 46o, B is approximatelydegrees; either answer exactly or to three decimal places.