Question

Find the value of 3 tan^6 10 - 27 tan^4 10 + 33 tan^2 10

Answer 1

Answer:

40 is the answer i think

Answer 2

Answer:

0.999648

Step-by-step explanation:

In the given question,

$3tan^{6}(10)-27tan^{4}(10)+33tan^{2}(10)$,

Now the value of tan (10°) is needed to be put in the given equation.

On doing so we get,

The value of tan(10°) = 0.1763

So,

On putting this in the equation we get,

$3tan^{6}(10)-27tan^{4}(10)+33tan^{2}(10)=3(0.1763)^{6}-27(0.1763)^{4}+33(0.1763)^{2}$

So, on putting the value and solving further we get,

$3(0.1763)^{6}-27(0.1763)^{4}+33(0.1763)^{2}=3(0.00003002)-27(0.000966)+33(0.03108)\\=0.00009006-0.026082+1.02564\\=0.999648$

Therefore, the value of the equation is given by,

0.999648