I've been doing my final exam study guide but I just can't get the answer for these questions so please help out and explain step by step how you got your answer thanks you. You don't have to do all of them even just one or two would be fine just please I really need help with these problems thanks
1) Write the first expression in terms of the second
Tan t, sin t ; quadrant IV (for this one I know you use identities but are you suppose to write it as tan t=sin t (and convert tan to sin/cos? or...)
2) Find the area of an equilateral triangle with side of length 10
3)Simplify the trig expression
1+csc x/cos x +cot x
4) Find sin x/2, cos x/2, tan x/2
Cos x= - 4/5, 180 degrees<x<270 degress
5) evaluate the expression
Sin (2 cos^-1 3/5)
6) rewrite the expression in terms of x
A) cos(tan^-1x) B) Cos (sin^-1 3/5 - cos^-1 3/5)
7) Find all the solutions of the equation (answers will be numbers on the unit circle)
A) Sec x(2 cos x - sqrt 2)=0 B) tan x/4 + sqrt 3=0
8) Convert the polar equation for rectangular
r= 1/ 1+sin x (the x is suppose to be a theta but idk how to make those)
9) Find the focus diretrix and focal diameter of the parabola (please explain this one very thoroughly because I don't know how to get rid of that # on the x^2 so I can't figure it out)
a) y= 5x^2 b) 5x+3y^2=0
This problem is for ellipses find the equation of the ellipse given the information
10) length of major axis 10, foci on x-axis, ellipse passes through the point (sqrt 5, 2)
11) complete the sqaure to find out if it is a parabola,ellipses, or hyperbola and find all the elements of the graph (meaning like the foci vertices etc. appropriate for the equation)
a)x^2-4y^2 -2x+16y=20 B) x^2 +16=4(y^2 +2x) c) 3x^2 +4y^2 -6x-24y+39=0 D) y^2=4(x+2y)
thank you and OMG You'll be a life saver if you can help me understand how to do these thank
1) Write the first expression in terms of the second
Tan t, sin t ; quadrant IV (for this one I know you use identities but are you suppose to write it as tan t=sin t (and convert tan to sin/cos? or...)
2) Find the area of an equilateral triangle with side of length 10
3)Simplify the trig expression
1+csc x/cos x +cot x
4) Find sin x/2, cos x/2, tan x/2
Cos x= - 4/5, 180 degrees<x<270 degress
5) evaluate the expression
Sin (2 cos^-1 3/5)
6) rewrite the expression in terms of x
A) cos(tan^-1x) B) Cos (sin^-1 3/5 - cos^-1 3/5)
7) Find all the solutions of the equation (answers will be numbers on the unit circle)
A) Sec x(2 cos x - sqrt 2)=0 B) tan x/4 + sqrt 3=0
8) Convert the polar equation for rectangular
r= 1/ 1+sin x (the x is suppose to be a theta but idk how to make those)
9) Find the focus diretrix and focal diameter of the parabola (please explain this one very thoroughly because I don't know how to get rid of that # on the x^2 so I can't figure it out)
a) y= 5x^2 b) 5x+3y^2=0
This problem is for ellipses find the equation of the ellipse given the information
10) length of major axis 10, foci on x-axis, ellipse passes through the point (sqrt 5, 2)
11) complete the sqaure to find out if it is a parabola,ellipses, or hyperbola and find all the elements of the graph (meaning like the foci vertices etc. appropriate for the equation)
a)x^2-4y^2 -2x+16y=20 B) x^2 +16=4(y^2 +2x) c) 3x^2 +4y^2 -6x-24y+39=0 D) y^2=4(x+2y)
thank you and OMG You'll be a life saver if you can help me understand how to do these thank