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Answered by
3
Answer:
2
Step-by-step explanation:
hey
1-cos^2x=sin^2x
1-sin^2x=cos^x
so root of(sin^2 x)/sin x+root of cos^2 x/cosx
=sinx/sinx +cos x/cos x
=1+1=2
Answered by
7
Hey Mate! ❤️
If you remember your trigonometry shortcuts, you know that 1−cos2x+cos2x=1. This means, then, that sin2x=1−cos2x (and that cos2x=1−sin2x).
So we can replace our 1−cos2x in our first numerator with sin2x. We can also replace our 1−sin2x in our second numerator with cos2x. Now our expression will look like this:
√sin2xsinx+√cos2xcosx
We also know that the square root of a value squared will cancel out to be the original value alone (for example,√22=2), so our expression will end up as:
=sinxsinx+cosxcosx
Or, in other words:
=1+1
=2
Our final answer is H, 2.
Hope it helps!
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