# trig

Let (theta) be an angle in quadrant II such that csc(theta)=8/5 Find the exact value of tan(theta) and cos(theta).

1. 👍 0
2. 👎 0
3. 👁 196
1. if csc Ø = 8/5
then
sin Ø = 5/8
I see a right-angled triangle with hypotenuse 8 and vertical side (the y) of 5
By Pythagoras, the other side is √39

in II both cosine and tangent are negative, so
tanØ = -5/√39
cosØ = -√39/8

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Math

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)

asked by Kandee Johnson on May 15, 2011
2. ### Trig

suppose that the angle theta is in the second quadrant, and that sin(theta)=1/3. Find exact values for cos (theta) and csc (theta)

asked by alicia otto on April 5, 2016
3. ### trig

Let (theta) be an angle in quadrant II such that csc(theta)=8/5 Find the exact value of tan(theta) and cos(theta).

asked by andy on May 10, 2011
4. ### trig

Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an

asked by Joey on March 24, 2014
5. ### trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

asked by Julise Alliance on February 28, 2013
6. ### trig

If theta is the measure of an angle in standard position with the given conditions, find the quadrant(s) in which the terminal side of theta lies. a) cot theta < 0 b) cos theta > 0 , csc theta < 0

asked by Anonymous on January 26, 2012
7. ### Trigonometric Functions

Determine the Value of all six trigonometric functions of theta when given? I need help. This is for my midterm review, if anyone is willing to help, I'd appreciate it. a) sin theta= 3/5 and theta is in quadrant 1. b) tan theta=

asked by Mike on January 6, 2008

If cos theta = 0.8 and 270

asked by Lucy on August 31, 2008
9. ### math

if csc theta= -5/3 and theta has its terminal side in quadrant III, find the exact value of tan 2 theta.

asked by hannah on February 8, 2011
10. ### math

n angle theta satisfies the relation (CSC theta)(cos theta)=-1 Give an example of information needed to determine a unique value for theta If sec theta is known to be negative, what is the CSC theta value of theta?

asked by ibsa on March 28, 2019

More Similar Questions