1.

यदि `alpha` और `beta` धनात्मक कोण है `sin(4alpha-beta)=1` और `cos(2alpha+beta)=(1)/(2)` है तो `sin(alpha+2beta)` का मान ज्ञात करे?

Answer» Correct Answer - d
`sin(4alpha-beta)=1=sin90^(@)`
`cos(2alpha+beta)=(1)/(2)=cos60^(@)`
`ralpha-beta=90^(@)`
` 2alpha+beta=60^(@)`
adding `6alpha=150^(@)`
`alpha=25 ^(@)`
`rArr beta=10^(@)`
`rArrsin(alpha+2beta)`
`rArrsin(25^(@)+2xx10^(@))`
`rArr45^(@)=(1)/sqrt(2)`


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