Question

3(sin 36/cos54)^2 -2(tan18/cot72)^3+2tan13.tan21.tan69.tan77

Answer 1

Sin36=Cos(90-36)=Cos 54
tan18=Cot(90-18)=cot72
Similarly
tan13=tan77
tan21=tan69
Equation

3(sin 36/cos54)^2 -2(tan18/cot72)^3+2tan13.tan21.tan69.tan77
=3(sin36/sin36)^2 - 2(tan18/tan18)^3
+2tan13.tan21.cot21.cot13
Now
Tan13. Cot 13=1
Tan 21.cot21=1
Thus equation becomes
3-2+2
=3
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Answer 2

Hope this helps you ☺☺