please solve - "If sin A + cos A = root 2 then evaluate : tan A + cot A"
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14
heya,,,
sinA+cosA =√2
squaring on both sides
(sinA+cosA)^2=(√2)^2
sin^2A+cos^A+2sinA*cosA=2
2sinA*cosa=2-1
sinA*cosA=1/2------_1】
now ) putting on ur question
tanA+cotA
=)sinA/cosA+cosA/sinA
=)sin^2A+cos^2A/sinA*cosA
=)1/1/2 from 1)
now, it's 2 Ans.
hope it help you.
@rajukumar .
☺
sinA+cosA =√2
squaring on both sides
(sinA+cosA)^2=(√2)^2
sin^2A+cos^A+2sinA*cosA=2
2sinA*cosa=2-1
sinA*cosA=1/2------_1】
now ) putting on ur question
tanA+cotA
=)sinA/cosA+cosA/sinA
=)sin^2A+cos^2A/sinA*cosA
=)1/1/2 from 1)
now, it's 2 Ans.
hope it help you.
@rajukumar .
☺
ZaysaaZafar:
me also class10
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