value of sin a/ cos a + cos a/1 × cotA/ cosec A=
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multiply and divide by 1-cosA
we get sinA*(1-cosA)/(1+cosA)*(1-cosA)
now open all the brackets and we get
sinA-sinA.cosA/1-cos^2A
we can further simplify it as
sinA-sinAcosA/sin^2A
using identity(1-cos^2A=sin^2A)
now just divide both the terms by sin^2A
we get (1/sinA)-(cosA/sinA)
which we can write as cosecA-cotA
and that’s the answer
**if you like the solution please brainliest**
Answered by
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Answer:
Step-by-step explanation:
sinA/cosA + cosA/1 * cotA/cosecA
tanA + cosA * cosA
tanA + cosA*cosA
1/cosA + cosA*cosA
1 + cosA*cosA*cosA/cosA
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