SOLUTION: PLEASE HELP!!
1. If sin(theta)=1/2, then sin(-theta)=______, sin(pi - theta)=______, and sin(theta + pi)=________?
2. If cos(theta)=square root 3/2, then cos(-theta)=______, cos
Algebra.Com
Question 285400: PLEASE HELP!!
1. If sin(theta)=1/2, then sin(-theta)=______, sin(pi - theta)=______, and sin(theta + pi)=________?
2. If cos(theta)=square root 3/2, then cos(-theta)=______, cos(pi - theta)=_____, and cos (theta + pi)=______ ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. If sin(theta)=1/2, then sin(-theta)= -1/2,
---
sin(pi - theta)= sin(pi)cos(theta)-cos(pi)sin(theta) = 0-(-1)(1/2) = 1/2
---
sin(theta + pi)= sin(theta)cos(pi)+cos(theta)sin(pi) = -sin(theta)+0 = -1/2
==============================================================
2. If cos(theta)=(sqrt3)/2, then cos(-theta)=(sqrt3)/2,
---
cos(pi - theta)= cos(pi)cos(theta)+sin(pi)sin(theta)= -cos(theta)= -(sqrt3)/2
----
cos(theta+pi)=cos(theta)cos(pi)-sin(theta)sin(pi)=-cos(theta)= -(sqrt3)/2
==================================
Cheers,
Stan H.
RELATED QUESTIONS
if sin theta 1 +sin theta 2 + sin theta 3= 3
then find cos theta 1 +cos theta 2 + cos... (answered by richard1234)
if tan theta=10/7, and if cos theta <0 then,
sec theta=
cos theta=
sin theta=
tan... (answered by Alan3354)
If sin theta + cos theta=root 3,then prove that tan theta + cot... (answered by robertb)
if cos theta = m, find... (answered by ikleyn)
If cot theta = 2x / square root of(9 - 4x^2)
then evaluate:
1. sin theta + cos theta
(answered by lwsshak3)
if a sin^3 theta+b cos^3 theta=sin theta cos theta and a sin theta-b cos theta =0 then... (answered by mananth)
Write in terms of sin(theta) and cos(theta) then simplify so no quotients appear.
1.... (answered by stanbon)
Prove:
cos^2 theta/1-sin theta=1+sin... (answered by stanbon,lwsshak3)
If cos theta – sin theta = root 2 sin theta prove that cos theta + sin v = root 2 cos... (answered by ikleyn)