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यदि `2sin theta =x+(1)/(x)`, तो सिद्ध कीजिए कि `sin 3 theta =-(1)/(2)(x^(3)+(1)/(x^(3)))` |
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Answer» दिया है - `sin theta=(1)/(2)(x+(1)/(x))` हम जानते हैं, कि `sin 3 theta = 3 sin theta - 4sin^(3)theta` ltbtgt `=3.(1)/(2)(x+(1)/(x))-4[(1)/(2)(x+(1)/(x))]^(3)` `=(3)/(2)(x+(1)/(x))-(1)/(2)(x+(1)/(x))^(3)` `=-(1)/(2)[(x+(1)/(x))^(3)-3(x+(1)/(x))]` `=-(1)/(2)[x^(3)+(1)/(x^(3))+3(x+(1)/(x))-3(x+(1)/(x))]` `=-(1)/(2)(x^(3)+(1)/(x^(3)))" "` यही सिद्ध करना था । |
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