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Alekssandra [29.7K]
3 years ago
10

What is sin 20° cos 4° + cos 20° sin 4° equal to?

Mathematics
2 answers:
devlian [24]3 years ago
7 0
\bf \textit{Sum and Difference Identities}
\\\\
sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta)
\\\\
sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta)
\\\\
-------------------------------\\\\
sin(20^o)cos(4^o)+cos(20^o)sin(4^o)\implies sin(20^o+4^o)\implies sin(24^o)
Darina [25.2K]3 years ago
6 0
In mathematics<span>, </span>trigonometric identities<span> are equalities that involve </span>trigonometric functions<span> and are true for every value of the occurring </span>variables<span> where both sides of the equality are defined. Geometrically, these are </span>identities<span> involving certain functions of one or more </span>angles<span>.
</span>
So we know this identity:

sin(\alpha+ \beta)=sin \alpha cos \beta +cos \alpha sin \beta

Given that α = 20° and β = 4°, the solution is:

sin(24)


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The function is given as:

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