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

31Given that tand 3.457 where << find the values of sine and cose. If necessary-example-1
User Mvark
by
7.6k points

1 Answer

6 votes

Answer:

cos θ = - 0.278

sin θ = - 0.961

Step-by-step explanation:

We use the relation that


\tan \theta=\tan \pi+\theta

Now, we evalaute the following using a calculator


\theta=\tan ^(-1)3.457
\theta=1.2892141
\therefore\theta^(\prime)=\theta+\pi=4.430806765

The above is the angle between pi and 3pi /2.

Now


\cos 4.43086=-0.278

and


\sin 4.4308.6=-0.961

which are our answers!

User George SEDRA
by
8.4k points
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