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aleksklad [387]
3 years ago
9

If sin=3/5 then what does tan equal

Mathematics
2 answers:
daser333 [38]3 years ago
8 0

Answer:

Not sure if this is correct but maybe it is 34?

JulijaS [17]3 years ago
6 0

Answer: tan(x)=\±\frac{3}{4}

Step-by-step explanation:

You know that sin(x)=\frac{3}{5} and you can identify that. Then:

sin^2(x)=(\frac{3}{5})^2

sin^2(x)=\frac{9}{25}

Remember that:

cos^2(x)=1-sin^2(x)

Then cos^2(x) is:

cos^2(x)=1-\frac{9}{25}\\\\cos^2(x)=\frac{16}{25}

Apply square root to both sides to find cos(x):

\sqrt{cos^2(x)}=\±\sqrt{\frac{16}{25}}\\cos(x)=\±\frac{4}{5}

Remember that:

tan(x)=\frac{sin(x)}{cos(x)}

Then, this is:

tan(x)=\frac{\frac{3}{5}}{\±\frac{4}{5}}

tan(x)=\±\frac{3}{4}

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