Find the value of each of the six trigonometric functions (if it is defined) at the given real number t. Use your answers to complete the table. (If an answer is undefined, enter UNDEFINED.)t = 𝜋2t sin(t) cos(t) tan(t) csc(t) sec(t) cot(t)𝜋2
Question
Find the value of each of the six trigonometric functions (if it is defined) at the given real number t. Use your answers to complete the table. (If an answer is undefined, enter UNDEFINED.)t = 𝜋2t sin(t) cos(t) tan(t) csc(t) sec(t) cot(t)𝜋2
Solution
t = 𝜋/2
sin(t) = sin(𝜋/2) = 1
cos(t) = cos(𝜋/2) = 0
tan(t) = sin(t)/cos(t) = 1/0 = UNDEFINED
csc(t) = 1/sin(t) = 1/1 = 1
sec(t) = 1/cos(t) = 1/0 = UNDEFINED
cot(t) = cos(t)/sin(t) = 0/1 = 0
So, the table will look like this:
t sin(t) cos(t) tan(t) csc(t) sec(t) cot(t) 𝜋/2 1 0 UNDEFINED 1 UNDEFINED 0
Similar Questions
Find the values of the trigonometric functions of t from the given information.csc(t) = 6, cos(t) < 0sin(t) = cos(t) = tan(t) = sec(t) = cot(t) =
. Without using a calculator, state the exact values of each of the following.a) cos π6b) sin 3π2c) tan−π6d) sin 3π4e) cos 4π3f) tan 2π3
Find the values of the other five trigonometric functions if cot x =, x lies in the third quadrant.
1. Simplify: tan(x)cot(x) - cos^2(x)*5 pointstan xsin^2xcot xcos^2x2. Simplify this to a basic trigonometry function: tan(x)csc(x)*5 pointstan xsec xcot xcsc x3. What is 1/(cscx) equivalent to?*5 points1/sin(x)1/tan(x)sin(x)1/cos(x)4. What are the solutions: 2 sinθ+3=2*5 pointsπ/6,2π/37π/67π/6, 11π/65π/6
Find the exact value of tan−1tan−6π5.Write your answer in radians in terms of π.If necessary, click on "Undefined."
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.