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Step-by-step explanation:
w. k. t,,
sec^2-tan^2=1
sec+ tan(sec-tan) =1
sec+ tan=1/(sec-tan)......... eq1
w. k. t,,
sin theta=a/b
therefore opp side of angle theta=a
hypotenuse side of angle theta=b
by pythogoras thm adj side of angle theta theta=√b^2-a^2
continuation of eq1,,
sec+ tan=1/[(1-sin)/cos]
sec+ tan=cos/1-sin
substitute,,
cos theta=(√b^2-a^2)/b
sin theta=a/b
sec+ tan=(√b^2-a^2)/b÷1-(a/b)
we get (√b-a*√b+a)/b-a
b-a can be written as √b-a*√b-a
therfore, sec+ tan=√b+a/√b-a
sec+ tan=√(b+a/b-a)
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