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left parenthesis s e c squared space a right parenthesis i with rightwards harpoon with barb upwards on top plus j with rightwards harpoon with barb upwards on top plus k with rightwards harpoon with barb upwards on top comma space i with rightwards harpoon with barb upwards on top plus left parenthesis s e c squared b right parenthesis j with rightwards harpoon with barb upwards on top plus k with rightwards harpoon with barb upwards on top space a n d space i with rightwards harpoon with barb upwards on top plus j with rightwards harpoon with barb upwards on top plus left parenthesis s e c squared c right parenthesis k with rightwards harpoon with barb upwards on top space a r e space c o p l a n a r.
w h a t space i s space t h e space v a l u e space o f space cos e c to the power of 2 space end exponent a plus cos e c squared b plus cos e c squared c ?

Asked by effiseb | 28 Jan, 2019, 10:38: AM
Expert Answer
begin mathsize 16px style According space to space the space question comma
open vertical bar table row cell sec squared straight a end cell 1 1 row 1 cell sec squared straight b end cell 1 row 1 1 cell sec squared straight c end cell end table close vertical bar equals 0
sec squared asec squared bsec squared straight c minus sec squared straight a minus sec squared straight b minus sec squared straight c plus 2 equals 0
open parentheses 1 plus tan squared straight a close parentheses open parentheses 1 plus tan squared straight b close parentheses open parentheses 1 plus tan squared straight c close parentheses minus open parentheses 1 plus tan squared straight a close parentheses minus open parentheses 1 plus tan squared straight b close parentheses minus open parentheses 1 plus tan squared straight c close parentheses plus 2 equals 0
Simplifying space we space get space
cosec squared straight a plus cosec squared straight b plus cosec squared straight c equals 2 end style
Answered by Sneha shidid | 28 Jan, 2019, 11:01: AM
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left parenthesis s e c squared space a right parenthesis i with rightwards harpoon with barb upwards on top plus j with rightwards harpoon with barb upwards on top plus k with rightwards harpoon with barb upwards on top comma space i with rightwards harpoon with barb upwards on top plus left parenthesis s e c squared b right parenthesis j with rightwards harpoon with barb upwards on top plus k with rightwards harpoon with barb upwards on top space a n d space i with rightwards harpoon with barb upwards on top plus j with rightwards harpoon with barb upwards on top plus left parenthesis s e c squared c right parenthesis k with rightwards harpoon with barb upwards on top space a r e space c o p l a n a r.
w h a t space i s space t h e space v a l u e space o f space cos e c to the power of 2 space end exponent a plus cos e c squared b plus cos e c squared c ?
Asked by effiseb | 28 Jan, 2019, 10:38: AM
ANSWERED BY EXPERT
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