Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. Show how to find the following w/out using a calculator. A. Sin(59pi/4) B. Co

ID: 3015167 • Letter: 1

Question

1. Show how to find the following w/out using a calculator. A. Sin(59pi/4) B. Cos(127pi/6) 2. Use Pythagorean identity for the following: If sinø=8/9, ø is a QII angle find cosø (delta) 3. Find the linear speed and angular velocity of a particle that makes 0.75 revolutions per second around a circle of radius 7 meters. 4. A sector of a circle has a central angle of 40°, if the circle has radius 3ft, what is the area of the circle? 1. Show how to find the following w/out using a calculator. A. Sin(59pi/4) B. Cos(127pi/6) 2. Use Pythagorean identity for the following: If sinø=8/9, ø is a QII angle find cosø (delta) 3. Find the linear speed and angular velocity of a particle that makes 0.75 revolutions per second around a circle of radius 7 meters. 4. A sector of a circle has a central angle of 40°, if the circle has radius 3ft, what is the area of the circle? 1. Show how to find the following w/out using a calculator. A. Sin(59pi/4) B. Cos(127pi/6) 2. Use Pythagorean identity for the following: If sinø=8/9, ø is a QII angle find cosø (delta) 3. Find the linear speed and angular velocity of a particle that makes 0.75 revolutions per second around a circle of radius 7 meters. 4. A sector of a circle has a central angle of 40°, if the circle has radius 3ft, what is the area of the circle?

Explanation / Answer

A. sin (59 pi/4) = sin(14 pi + pi/4)= sin pi/4=sqrt2/2

B. cos(127pi/6)=cos (21pi + pi/6)= - cos pi/6=-sqrt3/2

C. sin theta=8/9

In second quadrant cosine is negative

adjacent=sqrt(81-64)=sqrt17

cos theta=-sqrt17/9