Question #603e4

Question

Question #603e4

1 Answer

Impact of this question

2050 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-22T09:58:22

You need to multiply out the brackets and use $cos^2 x+sin^2 x=1$ and $tan x = sin x/ cos x$

Explanation:

$(1-cos x)(1+1/(cos x))$
Multiply out the brackets:
$=1 xx 1 -1 * cosx +1xx1/(cos x) - (cos x)/(cos x )$
$=1-cos x +1/(cos x)-1$
Cancel the $1$ 's:
$=-cos x + 1/(cos x)$
Put over a common denominator:
$=(-cos^2 x+1)/(cos x)$
Use Pythagoras: $cos^2 x + sin^2 x = 1$
$=sin^2x/cosx$

$=(sin x xx sin x)/cos x$
Use $tan x = sin x /cos x$
$=tan x sin x$

Science

Math

Humanities

... and beyond

Question #603e4

1 Answer

Explanation:

Related questions

Impact of this question