Trigonometric rapports of the angle

[Lazuli]

How do you find that for 20°, 42°, 75°, 88°, 153°, 289°?

 

[Dr.Peterson]

I don't know what "trigonometric rapports" means. Please explain, or give an example. It will be best if you can show us the exact wording of the problem; if it's in another language, give us the original so we can check the translation.

 

[Lazuli]

I don't know what "trigonometric rapports" means. Please explain, or give an example. It will be best if you can show us the exact wording of the problem; if it's in another language, give us the original so we can check the translation.

Détermine les six rapports trigonométriques de chaque angle au millième près. 20°, 42°, 75°, 88°, 153°, 289°.

 

[Dr.Peterson]

Détermine les six rapports trigonométriques de chaque angle au millième près. 20°, 42°, 75°, 88°, 153°, 289°.

Thanks. Google translates it as

Determine the six trigonometric ratios of each angle to the nearest thousandth. 20 °, 42 °, 75 °, 88 °, 153 °, 289 °.​

That is one of the possibilities I had considered; if you had included the word "six" in your original question, I would have been more sure. (In particular, I had considered that the question might be in French, but didn't see "ratio" as an explicit translation of "rapport".)

This can be answered by using a calculator; or, in the old days, you would use a table. Either would give you the values of the sine, cosine, and tangent, from which you could find the cosecant, secant, and cotangent by taking reciprocals.

Now please show us what you tried doing, and where you need help.