SOLUTION: If 0 < A < pi/2 and sinA + 1 = 2 sqrt(1-sin^2 A), determine the value of sinA.
Algebra.Com
Question 1176721: If 0 < A < pi/2 and sinA + 1 = 2 sqrt(1-sin^2 A), determine the value of sinA.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If and , determine the value of .
.......square both sides
......factor
solutions:
if =>
if =>
...........since given , that is not solution
so, the value of is => your solution
if you want angle in degrees, it is
°
RELATED QUESTIONS
If 0 < A < pi/2 and {{{ sinA+1=2* sqrt( 1-sin^2(A) ) }}}, determine the value of... (answered by ikleyn)
If 0 (answered by josgarithmetic,greenestamps,Alan3354)
If cscA=2, find the value of sinA.
I got sinA= 1/2 because csc is the inverse of sin,... (answered by Alan3354)
If sec(A) = \sqrt(65), and A is in Quadrant 1, find Sin2A and... (answered by MathLover1)
Prove that :
1. (cscA-1)/(cscA+1) = (1-sinA)/(1+sinA)
2. (secA/cscA)+(sinA/cosA) =... (answered by Edwin McCravy)
prove the following
1.tanAsinA+cosA=secA
2.sinA-sinAcos^2A=sin3A... (answered by Alan3354)
evaluate the expression given that sina=-4/5with pi (answered by lwsshak3)
Prove sqrt{[(1+cosA)^2]+[sinA]^2}=2cos(A/2)
Sqrt{(1+(cosA)^2+2cosA+(sinA)^2... (answered by nagatheja3636)
Find the polar representation of Z= Cosa+Sina+i(Sina-Cosa) where a<[0,... (answered by Edwin McCravy)