# Trigonometry Problems

E= {(x,g(x)): (-3,-7), (-1,-3), (0,-1), (2,3), (4,7)}

Write the rule for g-1(x):

Show that csc[arccos x] = 1/ root(1-x2):

sin 0=.4910; angle 0 =

sec(-38 degrees 22') =

If F(x) = log5 2x, find F-1(x)._________

Find (a) an upper limit and (b) a lower limit for the zeros of the function P(x)....zeros= -3/2, -root 5-1/2, and root 5+1/2..____________

evaluate:

tan 210 degrees + cot 240 degrees/1+tan 300 degrees cot(-60 degrees)

Write a trigonometric equation for cos using

A=-2, period= pie/4, phase shift= -pie/2_____________

Find the values of the six trigonometric functions of 0 if 0 is an angle in standard position with T(-20,-21) on its terminal ray.

a. 0 is located in which quadrant?

b. sin 0=

c. cos 0=

d. tan 0=

e. csc 0=

f. sec 0=

g. cot 0=

https://brainmass.com/math/trigonometry/trigonometry-problems-283774

## SOLUTION This solution is **FREE** courtesy of BrainMass!

E= {(x,g(x)): (-3,-7), (-1,-3), (0,-1), (2,3), (4,7)}

Write the rule for g-1(x):

Rule for g-1(x) = {(g(x), x): (-7, -3), (-3, -1), (-1, 0), (3, 2), (7, 4)}

Show that csc[arccos x] = 1/ root(1-x2)

Let arcosx = y

ïƒ° cosy = x

ïƒ° cscy =

Now, csc[arccos x]

= cscy

=

Hence proved.

sin Î¸ = .4910; angle Î¸ = 29Â°41'

sec(-38 degrees 22') = 1.275 (rounded to 3 decimal places)

If F(x) = log5 2x, find F-1(x)._________

Let F(x) = y

y = log5 2x

Solve it for x

Now replace x by y and y by x

Thus,

Find (a) an upper limit and (b) a lower limit for the zeros of the function P(x)....zeros= -3/2, -root 5-1/2, and root 5+1/2..____________

I think the roots should be

Roots will lie between -2<x<1

(a) Upper limit = 1

(b) Lower limit = -2

evaluate:

tan 210 degrees + cot 240 degrees/1+tan 300 degrees cot(-60 degrees)

Write a trigonometric equation for cos using

Amplitude = -2, period = pie/4, phase shift= -pie/2_____________

y = Acos(Bx + C), where a is the amplitude. The period is given by 2pi/b and the number -C/B is the phase shift

Given period = pie/4

Phase shift= -Ï€/2

-C/B = -Ï€/2

C = (Ï€/2)*8 = 4Ï€

Thus, y = -2cos(8x + 4Ï€)

Find the values of the six trigonometric functions of 0 if 0 is an angle in standard position with T(-20,-21) on its terminal ray.

a. 0 is located in which quadrant? III rd quadrant

b. sin Î¸ = -21/29

c. cos Î¸ = -20/29

d. tan Î¸ = 21/20

e. csc Î¸ = -29/21

f. sec Î¸ = -20/20

g. cot Î¸ = 20/21

https://brainmass.com/math/trigonometry/trigonometry-problems-283774