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# 15. Find the EXACT value of tan 5π /4 + tan π/3 ?

precalc

### 6 Answers

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- PhilipLv 61 month ago
tan(5pi/4) = tan(pi + pi/4) = tan(pi/4) = 1.;

tan(pi/3) = sin(pi/3)/cos(pi/3) = (rt3/2)/(1/2) = rt3, where rt = "square root of".;

Adding gives 1+rt3 as the answer.

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- DannyLv 51 month ago
Do your own homework. Can get help on how to figure it out, but don't ask for answer as you'll never learn.

- PuzzlingLv 71 month ago
Remember that tan = sin / cos.

Also use your unit circle:

sin(5π/4) = (-√2)/2

cos(5π/4) = (-√2)/2

tan(5π/4) = 1

sin(π/3) = (√3)/2

cos(π/3) = 1/2

tan(π/3) = √3

Answer:

1 + √3

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