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ella [17]
3 years ago
13

Please help me Idk this

Mathematics
2 answers:
disa [49]3 years ago
8 0

Answer:

The answer is most likely 178

Step-by-step explanation:

Basically I was taught to do this by adding the three angles of the triangle if the answer was over 180 you'd subtract 180 from it but they add up to be a simple 178

Hope I was able to help!

AURORKA [14]3 years ago
4 0

Answer: I say it is 36

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VikaD [51]
Not sure why such an old question is showing up on my feed...

Anyway, let x=\tan^{-1}\dfrac43 and y=\sin^{-1}\dfrac35. Then we want to find the exact value of \cos(x-y).

Use the angle difference identity:

\cos(x-y)=\cos x\cos y+\sin x\sin y

and right away we find \sin y=\dfrac35. By the Pythagorean theorem, we also find \cos y=\dfrac45. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if \tan x=\dfrac43, then (by Pythagorean theorem) \sec x=\dfrac53, so \cos x=\dfrac35. And from this, \sin x=\dfrac45.

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