SOLUTION: Ina right triangle, sinB = 2/3, find the cosB

Question 82091: Ina right triangle, sinB = 2/3, find the cosB
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
In a right triangle, sinB = 2/3, find the cosB
In right triangle trigonometry:
If we call the hypotenuse (the longest side of a right triangle): c
The side opposite of an angle: b
The side adjacent to the angle: a
Then sine=b/c
and cosine=a/c
AND
according to the pythagorean theorem:
Our b=2 and c=3, using the pythagorean theorem, we can find a:

Therefore:
Happy Calculating!!!!

RELATED QUESTIONS
For any triangle ABC, we have cosA + cosB + cosC =1+4SinA/2SinB/2SinC/2 and SinA/2 +... (answered by robertb)

1-(cosB-sinB)^2=sin2B (answered by chibisan)

Find the exact value of (sinB)^2 when cosB=... (answered by jim_thompson5910)

sinA+sinB+sinC=3 find the value of... (answered by jsmallt9)

In the right triangle ABC, m (answered by Fombitz)
If SinA - SinB = 1/2 and CosA - CosB = 1 Then find Tan(A +... (answered by robertb)
One of the acute angles ina right triangle is 60.find the other acute... (answered by SkyCorrea)
Which one of the following statements is true for trigonometric functions of two acute... (answered by vleith)
In triangle ABC, {{{ 2a^2 + 4b^2 + c^2 = 4ab + 2ac }}}. Find the value of cosB. (answered by mananth)