Posted by **lola** on Monday, January 16, 2012 at 7:11pm.

How do I get exact measures?

cosine 270 degrees

sin 90 degrees

tan 360 degrees

csc 45 degrees

no calculator!

- trig -
**MathMate**, Monday, January 16, 2012 at 7:45pm
The best way to solve these problems is to draw a unit circle (radius = 1), and calculate these ratios from the definitions (cosine = adjacent / hypotenuse, etc.)

The first three can be solved easily this way. The last one,

csc(45°)=1/sin(45°)

Knowing that sin(45)=cos(45), and

sin²(45)+cos²(45)=1, we solve for sin(45)=(√2)/2, so

csc(45)=2/√2 = √2.

## Answer this Question

## Related Questions

- Algebra II - Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)...
- Calculus - Find the exact values of the following. cos 270 degrees = 90 degrees...
- Trigonometry - Please review and tell me if i did something wrong. Find the ...
- trig - on the same set of axes: (0 degrees is greater than or equal to x and x ...
- Trig - What is the exact value of cos 40 degrees cos 50 degrees minus sin 40 ...
- trig - How do you express in terms of angles less than 90 degrees? sin 120 ...
- Trig - Can someone check my answers so far? 1. Find the exact value of tan(-3ð) ...
- Math - 1. Find the value of Sin^-1(-1/2) a. -30 degrees b. 30 degrees c. 150 ...
- math - find the exact value of [sec(-30 degrees)- cot 120 degrees]/1-cosec^2(45 ...
- Math - Determine each tangent ratio to four decimal places using a calculator. ...