sinA+cosA=1 prove that.
Answers
Answered by
2
sinA+CosA=1(given)--1
Sq both sides
(sinA+cosA)^2=
sin^2A+cos^2+2sinAcosA=1
1+2sinAcosA=1
2sinAcosA=0
sinAcosA=0
sinA=0
Now substituting sinA's value
0+cosA=1
cosA=1
Case 1
sinA=0
cosA=1
Let an equation sinA-cosA
0-1=-1
sinA-cosA=-1
Now taking the same equation
sinAcosA=0
cosA=0 and thus by substituting in 1 we get sinA=1
Case 2
sinA=1
cosA=0
Let us take equation sinA-cosA
1-0=1
sinA-cosA=1
Sq both sides
(sinA+cosA)^2=
sin^2A+cos^2+2sinAcosA=1
1+2sinAcosA=1
2sinAcosA=0
sinAcosA=0
sinA=0
Now substituting sinA's value
0+cosA=1
cosA=1
Case 1
sinA=0
cosA=1
Let an equation sinA-cosA
0-1=-1
sinA-cosA=-1
Now taking the same equation
sinAcosA=0
cosA=0 and thus by substituting in 1 we get sinA=1
Case 2
sinA=1
cosA=0
Let us take equation sinA-cosA
1-0=1
sinA-cosA=1
Dhruv017:
Sin + cos is not given 1 We have to prove that
Answered by
1
take triangle ABC right angled at b
from u will get it try to find value of sin a than cos a
add it and u will get the anwser
from u will get it try to find value of sin a than cos a
add it and u will get the anwser
Similar questions