Question

If tan = 1/4 and pi less than or equal to the angle less than or equal to (3*pi)/2find the exact values of all other trig functions

Answer #1

Question:
" Please compute the exact values of sin(pi/5), cos(pi/5) and
tan(pi/5) via the construction of the triangles"
Hint:
To compute sin(pi/5), cos(pi/5), tan(pi/5) you will need to find
isosceles triangles.

9. Suppose that tan(alpha)=3/4 and pi<alpha<3pi/2. Find:
a)sin(2alpha), b)cos(2alpha).
10. Suppose that tan(alpha)=-3 and 3pi/2<alpha<2pi. Find:
a)sin(2alpha), b)cos(2alpha).
16. Given theta is an acute angle with cos(theta)=1/4 , find the
value of tan(theta/2)+tan(2theta). Hint: Find each (using half
angle or double angle formulas) and add them up.

determine the equation of tangent line to the graph of
y=tan(1/2x)+xcot(2x+pi/4) at x=pi/2

Show all working
2. Find the other five Trig values for an angle x given the
information
a. sin(x)=3/5, x is in the first quadrant
b. cos (x)= 3/5, x is in the fourth quadrant
c. tan (x)=-4/3, x is in the second quadrant
d. cosec(x)=-5/4, x is in the third quadrant

3.5.2a. If csc(θ)=3 and (π/2) <?θ< ?π ( signs are less
than and equal to) find the
following and give exact answers:
(a.) sin(θ)
(b.) cos(θ)
(c.) tan(θ)
(d.) sec(θ)
(e.) cot(θ)

A project’s PI can be less than 1, but never less than 0.
True/False, why?

Find the exact values of the six trigonometric functions of the
angle θ shown in the figure.
sin(θ)
=
cos(θ)
=
tan(θ)
=
csc(θ)
=
sec(θ)
=
cot(θ)
=

Angle θ is an angle in the fourth quadrant and cos(θ)=1/3. Find
tan(θ)?

Find all theta from (-pi,pi) for which the tangent line of
r=tan(theta/2) is horizontal.
I have gotten to
1/2sec^2(theta/2)*sin(theta)+tan(theta/2)*cos(theta)=0
How do I solve for 0?

True or False
1. The angle of refraction is always less than the angle of incidence.
2. The angle of incidence and the angle of reflection are always the same.
3. When the light changes medium, its speed changes.
4. When the light changes medium, it modifies its frequency.
5. When the light changes medium, its wavelength changes.
6. The frequency for orange light is less than for blue light.
7. When light is reflected, it can be polarized.
8....

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