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Verizon [17]
3 years ago
11

Write the expression as the sine, cosine, or tangent of an angle.

Mathematics
2 answers:
agasfer [191]3 years ago
6 0
<h2>Answer:</h2>

The expression in terms of the sine expression is given by:

            \sin 48\cos 15-\cos 48\sin 15=\sin 33\degree

<h2>Step-by-step explanation:</h2>

The expression is given as:

\sin 48\cos 15-\cos 48\sin 15

Now we know that the formula is as follows:

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

Here on comparing the given expression with the above formula we have:

\sin 48\cos 15-\cos 48\sin 15=\sin (48-15)

i.e.

            \sin 48\cos 15-\cos 48\sin 15=\sin 33

natali 33 [55]3 years ago
3 0
\bf \textit{Sum and Difference Identities}&#10;\\ \quad \\&#10;sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})&#10;\\ \quad \\&#10;\boxed{sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})}

\bf cos({{ \alpha}} + {{ \beta}})= cos({{ \alpha}})cos({{ \beta}})- sin({{ \alpha}})sin({{ \beta}})&#10;\\ \quad \\&#10;cos({{ \alpha}} - {{ \beta}})= cos({{ \alpha}})cos({{ \beta}}) + sin({{ \alpha}})sin({{ \beta}})\\\\&#10;-------------------------------\\\\&#10;sin(48^o)cos(15^o)-cos(48^o)sin(15^o)\implies sin(48^o+15^o)&#10;\\\\\\&#10;sin(63^o)
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