1.

If the sujm and difference of two angles are `135^(@)` and`(pi)/(12)` respectively, then the value of the angles in degree measure are (यदि दो कोनो का योग तथा अंतर क्रमश `135^(@)` और `(pi)/(12)` है तो डिग्री में कोणो की माप ज्ञात करे )A. `70^(@),65^(@)`B. `70^(@),60^(@)`C. `45^(@),90^(@)`D. `80^(@),55^(@)`

Answer» Correct Answer - b
`sin^(12)x+3sin^(10)x+3sin^(8)x+sin^(6)x-1`
`rArr(sin^(4)x+sin^(2)x)^(3)-1`
`rArr(cos^(2)x+sin^(2)x)^(2)-1`
`[cos x+cos^(2)x=1 cos x=1-cos^(2)x=sin^(2)x]`
`rArr1-1=0`


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