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Mathematics
Mathematics
Problem
Simplify
sin
4
θ
+
cos
4
θ
sin
2
θ
cos
2
θ
\dfrac{\sin^4\theta+\cos^4\theta}{\sin^2\theta\,\cos^2\theta}
sin
2
θ
cos
2
θ
sin
4
θ
+
cos
4
θ
. a)
1
sin
2
θ
cos
2
θ
+
2
\dfrac{1}{\sin^2\theta\cos^2\theta}+2
sin
2
θ
cos
2
θ
1
+
2
b)
1
sin
2
θ
cos
2
θ
−
2
\dfrac{1}{\sin^2\theta\cos^2\theta}-2
sin
2
θ
cos
2
θ
1
−
2
c)
2
−
1
sin
2
θ
cos
2
θ
2-\dfrac{1}{\sin^2\theta\cos^2\theta}
2
−
sin
2
θ
cos
2
θ
1
d)
tan
2
θ
+
cot
2
θ
\tan^{2}\theta+\cot^{2}\theta
tan
2
θ
+
cot
2
θ
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