Find the values of the trigonometric functions of t from the given information.
tan(t) =
1
8
,
terminal point of t is in quadrant iii

Answers

12/13

Step-by-step explanation:

Use a Pythagorean identity that has tangent.

tan²(t) + 1 = sec²(t)

(5/12)² + 1 = sec²(t)

25/144 + 1 = sec²(t)

169/144 = sec²(t)

sec(t) = ±13/12

cos(t) = ±12/13

Since 0 < t < π/2, cos(t) > 0.

cos(t) = 12/13

1   tan2(t)+1=sec2(t)

2  169/144

3  cos(t) = 1 / sec(t)

4 12/13

Step-by-step explanation:



Do you know the answer?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019, emilyyroe
to determine the unit cost your would divide the total cost by the number sold.   7 bagels for $4.41       $4.41/7 = $.63 each at fresh side   5 bagel...Read More
1 more answers
Mathematics, 21.06.2019, KaliBratz
d. flowchart proofA logical argument that is presented in graphical form using boxes and arrows is called a flowchart proof.Step-by-step explanation:Flow chart is a diagrammatic r...Read More
1 more answers
42/5 = Exact Form8.4 = Decimal Form8 2/5 = Mixed Number FormStep-by-step explanation:If the perimeter is 24 feet and it is a rectangle then you divide 24 by 4Each side is 6 feetLen...Read More
2 more answers
Mathematics, 22.06.2019, KaseyT
There are about 1.06 quarts per one liter. so round to the nearest tenthwhich would come out to 13.2*4=52.8 qts. 52.8/1.06=49.8 liters...Read More
2 more answers