31Given that tand 3.457 where << find the values of sine and cose. If necessary, round to 32decimal places

Answer:
cos θ = - 0.278
sin θ = - 0.961
Explanation:
We use the relation that
[tex]\tan \theta=\tan \pi+\theta[/tex]Now, we evalaute the following using a calculator
[tex]\theta=\tan ^{-1}3.457[/tex][tex]\theta=1.2892141[/tex][tex]\therefore\theta^{\prime}=\theta+\pi=4.430806765[/tex]The above is the angle between pi and 3pi /2.
Now
[tex]\cos 4.43086=-0.278[/tex]and
[tex]\sin 4.4308.6=-0.961[/tex]which are our answers!