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Mathematics
Mathematics
Problem
The expression
tan
θ
+
sec
θ
sec
θ
−
tan
θ
\displaystyle \frac{\tan\theta+\sec\theta}{\sec\theta-\tan\theta}
sec
θ
−
tan
θ
tan
θ
+
sec
θ
is equivalent to a)
1
+
cos
θ
1
−
cos
θ
\dfrac{1+\cos\theta}{1-\cos\theta}
1
−
cos
θ
1
+
cos
θ
b)
1
+
sin
θ
1
−
sin
θ
\dfrac{1+\sin\theta}{1-\sin\theta}
1
−
sin
θ
1
+
sin
θ
c)
1
−
sin
θ
1
+
sin
θ
\dfrac{1-\sin\theta}{1+\sin\theta}
1
+
sin
θ
1
−
sin
θ
d)
tan
2
θ
+
1
\tan^{2}\theta+1
tan
2
θ
+
1
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