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prove that: (sin a - cosec a)^2 + (cos a - sec a)^2 = tan^2a + cot^2a -1 plz solve that identity I will mark as brainlist sure |
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Answer» -step explanation:sin²a +cosec²a -2sin a cosec a +cos²a+sec²a -2cos a sec a=sin²a +cosec²a -2 +cos²a+sec²a -2 REASON -> { sin a cosec a=1 } { COS a sec a = 1}= sin²a + cos²a +cosec²a + sec²a -4= 1 + 1 + cot²a + 1 + tan²a - 4 Reason -> {sin²a +cos²a =1 } { cosec²a = 1 + cot²a } { sec²a = 1 + tan²a}= cot²a + tan²a +3 -4= tan²a + cot²a - 1 Hence proved |
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