SOLUTION: if tan theta equals cot theta then value of sec theta will be ??

Question 880280: if tan theta equals cot theta then value of sec theta will be ??
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Given:
(1) tan(x) = cot(x) or
(2) tan(x) = 1/tan(x) or
(3)
Use the well known identity
(4) (If you don't know it memorize it).
we can, by dividing through by , derive another identity
(5) or
(6)
Using the given value of in (3) we have
(7) or
(8) or
(9))
The answer of (9) can easily be verified using the 45 degree right triangle given by (3).

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