The correct question is
Given that sinx=3/5 where x is an acute angle, what is cosx and tanx<span>?
we know that
</span>since x is acute 0<x<<span>π/2
</span><span>then the trigonometric rations will be positive</span>
sin ²x+cos²x=1------------> cos²x=1-sin²x-------> cos²x=1-(3/5)²----> 1-(9/25)
cos²x=16/25----------> cos x=4/5
the answer part A) is
cos x=4/5
tan x=sin x/cos x
so
tan x=(3/5)/(4/5)---------> tan x=3/4
the answer part B) is
tan x=3/4
<span>variation and large
hope this help!!! <3</span>
Okay here all the answers:
Image one:
11) D.
12) D.
13) B
Second image:
1) D (if not B)
2) A
3) D
4) B
5) C
6) D
7) C
8) B
9) C (if not D)
10) D
I hope this helped you!! :)
Tell me if you want step by step on any of them.
Keep rocking!!
(When I say “if not __” that means I was a bit unsure, but mostly confident. So don’t worry, just go with the first option. :)
