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Arlecino [84]
3 years ago
13

Use the fundamental identities to fully simplify the expression

Mathematics
2 answers:
Lyrx [107]3 years ago
6 0

Hey!

Hope this helps... And we're super sorry that no answered your question...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3sin^3 x * csc(x) + cos^2 x + 2cos(-x) * cos(x) = ?

3sin^3 x * (1/sin) + cos^2 x + 2cos(x) * cos(x) = ? We know 2cos(-x) = 2cos(x) because of the opposite angle theorem: cos(-x) = cos(x)

3sin^2 x + cos^2 x + 2cos(x) * cos(x) = ?

3sin^2 x + cos^2 x + 2cos^2 x = ?

sin^2 x + cos^2 x + 2cos^2 x = ?

3sin^2 x + 3cos^2 x = ?

3 (sin^2 x + cos^2 x) = ?

3 * 1 = ?

= 3

Thepotemich [5.8K]3 years ago
3 0
Hello here is a solution :

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Sinx/1+cosx = cscx-cotx prove ls=rs
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L S = sin x/( 1 + cos x) * ( 1 - cos x ) / ( 1 - cos x ) =
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= ( sin x  - sin x cos x ) / sin² x =
= sin x / sin² x - ( sin x cos x ) / sin² x =
= 1 / sin x - cos x / sin x = csc x - cot x = RS
Therefore:  LS = RS




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