Question 1089448
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1.  tan(x+45) = {{{(tan(x)+tan(45))/(1-tan(x)*tan(45))}}} = {{{(tan(x))/(1-tan(x))}}}.


2.  tan(x) = {{{sin(x)/cos(x)}}},

    and since you are just given cos(x) = {{{7/25}}},  all you need to do is to calculate

    sin(x) = {{{sqrt(1-cos^2(x))}}} = {{{sqrt(1-(7/25)^2)}}} = {{{sqrt(1-49/625)}}} = {{{sqrt((625-49)/625)}}} = {{{24/25}}}.


    So, tan(x) = {{{sin(x)/cos(x)}}} = {{{((24/25))/((7/25))}}} = {{{24/7}}}.


3.  From this point, can you complete the calculations on your own ??
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Solved.