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Mathematics
Mathematics
Problem
For an angle
x
x
x
it is given that
sin
x
=
7
25
\sin x=\dfrac{7}{25}
sin
x
=
25
7
and
cos
x
=
24
25
\cos x=\dfrac{24}{25}
cos
x
=
25
24
. (a) Find
tan
x
\tan x
tan
x
. (b) Using the value of
tan
x
\tan x
tan
x
, evaluate the expression
E
=
1
−
tan
2
x
1
+
tan
2
x
E=\frac{1-\tan^{2}x}{1+\tan^{2}x}
E
=
1
+
tan
2
x
1
−
tan
2
x
and simplify your answer.
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