Question

The simplest form of root (1-cos²theta)(1+tan²theta) is​

Answer 1

Answer:

The simplest form of the given equations becomes tanx

Step-by-step explanation:

Let us assume that theta=x

Now according to the question, we are given $\sqrt{(1-cos^{2}x )(1+tan^{2}x })$

Using the identities we know that $1-cos^{2} x=sin^{2}x$ also $1+tan^{2}x =sec^{2}x$

So now the expression becomes

$\sqrt{sin^{2} x.sec^{2} x} \\\\=\sqrt{sin^{2}x.\frac{1}{cos^{2}x } } \\=\sqrt{tan^{2} x} \\=tanx$

Answer 2

Answer:

tan x would be the answer