When answering a trigonometry problem:
Give your answer correct to one decimal place.
We know the hypotenuse and are trying to find the value of , which is the adjacent.
From SOH CAH TOA, we see that we need to use the cosine ration.
In this case we have
Rearrange using 'change side, change operation'. We need to move the '12' over to the other side of the equals sign so that we have 'y' on its own. The '12' is dividing on the right hand side, so when it moves to the other side it does the opposite, therefore it will multiply.
Remember to show all working, especially when you use a calculator.
Give your answer to three decimal places.
We know the adjacent and we are trying to find the opposite.
Substituting the values