Math, asked by riyabashisth, 11 months ago

find the value of A if: 2 cos^2A+cosA-1=0

Answers

Answered by dhakatanishqddun
4
hey.............

The given equation is .
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this part of the solution is in the image
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When cos A = 1, we have

A = 0°

When cos A = , we have

A = 60°

Thus, the solution of the given equation is 0° or 60°.

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2cos2A-3cosA+1=0

2cos2A-2cosA-cosA+1=0

2cosA(cosA-1)-1(cosA-1)=0

(2cosA-1)(cosA-1)=0

(2cosA-1)=0

cosA=1/2

therefore , A=45 degree

(cosA-1)=0

cosA=1

therefore,A=0degree

so,the value osf Ais 0degree or 45degree

therefore A=45
Attachments:

dhakatanishqddun: ////////after these
dhakatanishqddun: check it out
dhakatanishqddun: see the second image dear riya
dhakatanishqddun: just take A as x
dhakatanishqddun: ok
dhakatanishqddun: Riya Bashisth
riyabashisth: thank you so much
dhakatanishqddun: now mark it as brainlist
dhakatanishqddun: good to help u Riya
dhakatanishqddun: :-)
Answered by hsbbzvsvsmss
2
step by step explanation
here in such questions u first have to use the hit and trial method if u get success then no problem if dont then we solve this but this question is solved by hit and trial method lets consider with me
2cos^2A+cosa=1
now putting A=60°
u will find it is satisfying our equation so A will be 60°
hope u find it helpful if yes then mark it as brianliest.:D:);):-)

riyabashisth: is there any other way to solve this problem
hsbbzvsvsmss: hmm
hsbbzvsvsmss: but in all the case at last u have to use hit and trial
hsbbzvsvsmss: means u should remember the ratio value at diiferent angles
riyabashisth: ok can u please let me know the other way to sove it
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