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dsp73
4 years ago
6

8sin45+5cos45/sin345 -2cos3

Mathematics
1 answer:
katovenus [111]4 years ago
6 0
2.57982211163 is the answer
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Pleas help me solve #1 :( <br> Your answer helps so much!!
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ANSWER

y = 7 \sqrt{2}

x = 7

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

\tan(45 \degree)  =  \frac{opposite}{adjacent}

\tan(45 \degree)  =  \frac{7}{x}

1 =  \frac{7}{x}

x = 7

To find y, we use the sine ratio, which means

\sin(45 \degree)  =  \frac{opposite}{hypotenuse}

\sin(45 \degree)  =  \frac{7}{y}

y=  \frac{7}{\sin(45 \degree) }

y=  \frac{7}{ \frac{1}{ \sqrt{2} } }

y = 7 \times  \frac{ \sqrt{2} }{1}

y = 7 \sqrt{2}

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