Find the exact values of sec(theta) and tan(theta).
sin^2 + cos^2 = 1 ... cos = √(1 - sin^2) = √[1 - (-2/5)^2]
find the cosine ... remember, it's positive in Quad IV
sec = 1 / cos ... tan = sin / cos
in QIV, x is positive and y is negative. So, if sinθ = -2/5, you have
y = -2
r = 5
x = √21
Now, recall that
sinθ = y/r
cosθ = x/r
tanθ = y/x
and of course, there are the reciprocals: csc, sec, cot
Y = -2.
r = 5.
x^2 + (-2)^2 = 5^2,
X = sqrt(21).
Sec A = 1/Cos A = 1 / (x/r) = r/x = 5/sqrt(21).
Tan A = Y/X = -2/sqrt(21).
In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few
Find cos theta and cot theta if sin =1/4 and tan theta
find sin theta and tan theta if cos theta = 2/3 and cot theta is >0 and find cos theta and cot theta if sin theta = 1/3 and tan theta is
find an expression for sin (5 theta) as a fifth degree polynomial in the variable sin(theta) ?
Sin theta = 1/4, what is sec theta?, tan theta? give exact answers for 0 less than or equal to theta less than equal to pi/2
f(theta)= 4sec(theta)+ 2tan(theta), 0 less than theta less than 2pi. find all critical numbers
how do you find all the values of theta from 0 degrees through 360 degrees for which sin theta equals 0
Let (7,-3) be a point on the terminal side of theta. Find the exact values of sin of theta, csc of theta and cot of theta?
if tan theta= 1/2, find the exact values of the five remaining trigonometric functions for theta, which is acute
in the equation r= 5/(sin theta +2cos theta) the letters r and theta represent polar coordinates. Write the equivalent equation using rectangular coordinates. Thanks :)
The maximum torque experienced by a coil in a 0.90 T magnetic field is 8.4 10-4 N·m. The coil is circular and consists of only one turn. The current in the coil is 3.9 A. What is the length of the wire from which the coil is made? Please tell me if I am
Use the graph of y=sin2theta to find the value of sin 2 theta for theta=pi/4. a--1 b-0 c-0.5 d-1 my answer is -1
Hello! I have this problem: x(dx)/sqrt(9-x^2) I was wondering why I can't use trig substitution and substitute sqrt(9-x^2) for sqrt(1-sec^2) and having: integral x = 3sin(theta) dx = 3cos(theta)d(theata) integral 3sin(theta)(3cos(theta))/3cos(theta) having
write sec theta in terms of sin theta when theta lies in quadrant III
if theta is an angle in standard position and B(-3,4) is a point on the terminal side of the angle, what is the value of sin theta?
1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and tan(theta). 3. Let
If sin(θ)=8/10, 0≤θ≤π/2, then cos(theta)= tan(theta)= Sec(theta)= Please explain how to do this
Draw the unit circle and a first-quadrant ray from the origin that makes an angle theta with the positive x-axis. Let B be the point on this ray whose x-coordinate is 1, and let A = (1, 0). Segment AB is tangent to the circle. In terms of theta, find its
Given csc theta= 4, cot theta < 0 Find the exact values of cos theta and tan theta
if sin and sec of theta are less than zero what quadrant is it in
You can ask a new question or browse existing questions.