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ladessa [460]
3 years ago
9

Prove the following identity:

Mathematics
1 answer:
Ronch [10]3 years ago
5 0
( 1 / tan x ) + tan x = 1 / ( sin x cos x )
We will start with the left side:
( 1 / tan x ) + tan x = ( 1 / sinx/cosx ) + ( sin x / cos x ) =
= ( cos x / sin x ) + ( sin x / cos x ) =
= ( cos² x + sin² x ) / ( sin x cos x ) =
= 1 / ( sin x cos x ) , which is same as the right side. The identity is proved.   
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Answer:

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We can use similar triangles and ratios to solve

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The answer is:  - 6 .
_____________________________________________

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