Math
posted by Haiano on .
Prove that cosec 60 degrees cot 30 degrees tan 60 degrees=2secsquared 45degrees cos 30 degree

Work on the lefthand side first:
csc60 cot30 tan60
=(1/sin60)(tan60)(tan60)
=(1/sin60)(tan²60)
=(1/sin60)(sec²601)
=(2/√3)(2²1)
=2√3
Work on the righthand side:
2sec²45cos30
=2(2/√2)² (√3)/2
=8/2 (√3)/2
=2√3
Thus LHS=RHS and the proof is complete. 
csc60° * cot 30° * tan 60°
= 2/√3 * √3 * √3
= 2√3
2sec^2 45° cos30°
= 2*2*√3/2
= 2√3