Can someone explain to me how to use sin, cos, and tan for triangle calculations? feel free to use whatever example. i just want to understand how use the trigonometric ratios.

It helps thinking of Sin, Cos, Tan as SOH-CAH -TOA. SOH meaning Sin= Opposite/ Hypotenuse, CAH meaning Cos= Adjacent/ Hypotenuse and TOA meaning Tan= Opposite/ Adjacent. Anything across from the Reference point is Opposite, what is across from Opposite is adjacent and what is across from the right angle is Hypotenuse. I hope I’m answering your question correctly and hope this helps!

Hi there!

A way to remember how to do each way is: Soh Cah Toa

Sin- opposite over hypotenuse Cos- Adjacent over hypotenuse Tan- opposite over adjacent.

Hypotenuse is the longest the side of the triangle

and the adjacent side is the side laying near the symbol theta.  

The right answer is option d.

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a.this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b.this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )