Author Question: I need to find an angle, x, but the formula has sin x times cos x, what do I do? (Read 3213 times)

formula1

  • Hero Member
  • *****
  • Posts: 666
I have the formula Q = pgH cos x sin x
and I need to find the angle x. How do I rearrange the formula and how do I put it into my calculator??



clippers!

  • Hero Member
  • *****
  • Posts: 828
Q/(pgH) = cosxsinx
2Q/(pgH) = 2cosxsinx
2Q/(pgH) = sin(2x)
2x = arcsin[2Q/(pgH)]
x = .5arcsin[2Q/(pgH)]



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

geoffrey

  • Hero Member
  • *****
  • Posts: 880
Q = pgH * cos(x) * sin(x)
Q / pgH = cos(x) * sin(x)
cos(x) * sin(x) = Q / pgH

sin(2x) = 2sin(x)cos(x)
sin(2x) / 2 = 2sin(x)cos(x) / 2
sin(2x) / 2 = sin(x)cos(x)

cos(x) * sin(x) = Q / pgH
sin(2x) / 2 = Q / pgH
sin(2x) = 2Q / pgH

2x = sin^-1(2Q / pgH)
x = sin^-1(2Q / pgH) / 2

sin^-1(2Q / pgH) means sin inverse of 2Q / pgH



aero

  • Hero Member
  • *****
  • Posts: 512
Write Q = pgH cos x sin x,  as  2Q/pgH  = 2cos x sin x

 => 2Q/pgH  = sin 2x

 => 2x = sin^-1 (2Q/pgH)

 => x = (1/2) sin^-1 (2Q/pgH)

 Now you can find x by putting it in your calculator.



 

Did you know?

In 1835 it was discovered that a disease of silkworms known as muscardine could be transferred from one silkworm to another, and was caused by a fungus.

Did you know?

Anesthesia awareness is a potentially disturbing adverse effect wherein patients who have been paralyzed with muscle relaxants may awaken. They may be aware of their surroundings but unable to communicate or move. Neurologic monitoring equipment that helps to more closely check the patient's anesthesia stages is now available to avoid the occurrence of anesthesia awareness.

Did you know?

Throughout history, plants containing cardiac steroids have been used as heart drugs and as poisons (e.g., in arrows used in combat), emetics, and diuretics.

Did you know?

When blood is exposed to air, it clots. Heparin allows the blood to come in direct contact with air without clotting.

Did you know?

A recent study has found that following a diet rich in berries may slow down the aging process of the brain. This diet apparently helps to keep dopamine levels much higher than are seen in normal individuals who do not eat berries as a regular part of their diet as they enter their later years.

For a complete list of videos, visit our video library