PLEASE HELP I WILL MEDAL AND FAN! Use the given function values and trigonometric values (including the cofunction identities), to find the indicated trigonometric function. Sin…

Question

asked Oct 10, 2019 177k views

1 Answer

Carma · Answer 1 · 2019-10-14T16:13:36+0000

Answer:

$tan(90-{\theta})=1$ .

Explanation:

In order to find the indicated trigonometric function that is:
$tan(90-{\theta})$ , we take
$sin{\theta}=(3)/(√(13))$ and
$cos{\theta}=(3)/(√(13))$ .

Now,
$\frac{sin{\theta}}{cos{\theta}}=((3)/(√(13)))/((3)/(√(13)))$

⇒
$tan{\theta}=1$

⇒
${\theta}=tan^(-1)(1)$

⇒
${\theta}=45^{{\circ}}$

Now, the value of the trigonometric function is given by:

$tan(90-{\theta})=tan(90-45)=cot45=1$

Thus,
$tan(90-{\theta})=1$ .