Question

If tan theta =1/root 3 then find cos theta ???

Answer 1

Answer:

The answer will be root 3 / 2.

Step-by-step explanation:

We have given,

                         Tan Θ = 1 / root 3;          (i)

Now we know that,

                        Tan Θ = Opposite / Adjacent               (ii)

Hence from (i) and (ii);

                      Opposite = 1;

                     Adjacent = root 3;

From Pythagoras Theorem, we have to obtain hypotenuse;

So,                 Hypotenuse =     $\sqrt{Adjacent^{2} + Opposite^{2} }$

                        H =    $\sqrt{1^{2} + \sqrt{3} ^{2} }$

                        H =   $\sqrt{1 + 3 }$

                       H = $\sqrt{4}$

                       H = 2

Now, cos theta = adjacent / hypotenuse

        Cos Θ = root 3 / 2

Hence we got our answer i,e. $\frac{\sqrt{3} }{2}$ .

That's all.

Answer 2

Answer:

answer is root 3 by 2

Step-by-step explanation:

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