Math, asked by ruthika18, 1 year ago

(sin^3A +sin3A/sinA) +(cos^3A-cosA/cosA)=​

Answers

Answered by puchkii
2

first split all the terms..

=(sin³A/sinA )+(sin3A/sinA)+(cos³A/cosA)- (cosA/cosA)

=sin²A + (sin3A /sinA) + cos²A -1

=now.open sin² A as (1-cos²A)

then,

=1-cos²A +(sin3A/sinA)+cos²A-1

=sin3A/sinA

= open sin3A as (3sinA-4sin³A)

= (3sinA-4sin³A)/sinA

=again split terms

= then, (3sinA/ sinA)-(4sin³A/sinA)

=3-4sin²A ....ans...

i think this will helpful to u


ruthika18: but ans should be equal to2
ruthika18: sorry 3
puchkii: wait isn't sin A is divided by whole term of sin
puchkii: and cosA is divided by whole term of cos
ruthika18: wait I will see it
puchkii: ok
ruthika18: I am not getting it
puchkii: then how we will get the crrct ans
ruthika18: don't no
puchkii: ok I'll try to solve it
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