Posted by **Haiano** on Sunday, June 1, 2014 at 7:18pm.

Prove that cosec 60 degrees cot 30 degrees tan 60 degrees=2secsquared 45degrees cos 30 degree

- Math -
**MathMate**, Sunday, June 1, 2014 at 8:34pm
Work on the left-hand side first:

csc60 cot30 tan60

=(1/sin60)(tan60)(tan60)

=(1/sin60)(tan²60)

=(1/sin60)(sec²60-1)

=(2/√3)(2²-1)

=2√3

Work on the right-hand side:

2sec²45cos30

=2(2/√2)² (√3)/2

=8/2 (√3)/2

=2√3

Thus LHS=RHS and the proof is complete.

- Math -
**Steve**, Sunday, June 1, 2014 at 8:35pm
csc60° * cot 30° * tan 60°

= 2/√3 * √3 * √3

= 2√3

2sec^2 45° cos30°

= 2*2*√3/2

= 2√3

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