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grigory [225]
3 years ago
7

Verify the identity: (1-sinx)/cosx = cosx/(1+sinx)

Mathematics
1 answer:
Tresset [83]3 years ago
4 0
Cross multiply the expression so that we can get

(1+sinx)(1-sinx) = cos^2 x

1 - sin^2 x = cos^2 x

cos^2 x + sin^2 x = 1

since

cos^2 x + sin^2 x = 1 

therefore 

1 = 1

the two expressions are identical in a trigonometric sense
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