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If `sin theta + cosec theta = 2` then the value of `sin^20 theta + cosec^20 theta`, isA. `2^10` B. `2^5` C. `2^20` D. `2`. |
Answer» `sintheta+cosectheta = 2` `=>sintheta+1/sintheta = 2` `=>1+sin^2theta - 2sintheta = 0` `=>(1-sintheta)^2 = 0` `=>sintheta = 1` So, `cosectheta = 1/sintheta = 1`. So, `sin^20theta +cosec^20theta = 1^20+1^20 = 1+1 = 2` |
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