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If `sin^2theta_1+sin^2theta_2+sin^2theta_3=0,`then which of the following is not the possible value of `costheta_1+costheta_2+costheta_3?`3 (b) `-3`(c) `-1`(d) `-2`A. 3B. -3C. -1D. -2 |
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Answer» `sin^2theta_1+sin^2theta_2+sin^2theta_3=0` `rArr sin^2theta_1=sin^2theta_2=sin^2theta_3=0` `rArr cos^2theta_1,cos^2theta_2,cos^2theta_3=1` `rArr costheta_1,costheta_2,costheta_3=pm1` `cos^2theta_1+cos^2theta_2+cos^2theta_3"can be-3 (when all are -I)"` or 3 (when all are +I) or -1 (when any two are -1 and one is +1) or 1 (when any two are +11 and one is -1) but-2 is not a possible value. |
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