Please help me how can I draw the right triangle ABC whose sides have the following values given below, and also find the six trigonometric functions of each triangle’s angle A? a = 9, b = 40, c = 41

1 Answer
Jan 21, 2018

I tried this:

Explanation:

Consider the figure:
enter image source here
we use trigonometry and write:
#9=41sinalpha#
#40=41cosalpha#

#9=41cosbeta#
#40=41sinbeta#

you can rearrange these to get:

#sinalpha=9/41=0.219#
#cosalpha=40/41=0.975#
#cosbeta=9/41=0.219#
#sinbeta=40/41=0.975#

You can find the other functions considering that:
#tanalpha=sinalpha/cosalpha# and the same for #beta#
#cotalpha=cosalpha/sinalpha# and the same for #beta#
#cscalpha=1/sinalpha#
#secalpha=1/cosalpha#
and the same again for #beta#