Math, asked by bhutangenayan, 1 year ago

Find the value of tan15 tan35 tan60 tan55 tan75

Answers

Answered by Jiyaa1
5
tan15×cot(90-35)×tan60×tan55×cot(90-75)
tan15×cot55×√3×tan55×cot15
tan15×cot15×tan55×cot55×√3
1×1×√3
=√3

bhutangenayan: How Root 3
Jiyaa1: because tan60=√3
bhutangenayan: But why will take tan35 n tan75 as (90-35) why not other
Jiyaa1: if v take other then the measure of angles will not be = in tan and cot and the v cannot apply identity
bhutangenayan: Ohk thanks
Answered by plabanipaul1412
2
The answer is root 3

bhutangenayan: How
Jiyaa1: because of identities. tanA=cot(90-A) and vice versa
bhutangenayan: Can u pls explain
plabanipaul1412: Jiyaa answered u nicely jst hve a glance
Jiyaa1: plz check maths ncert for identities applied
bhutangenayan: I know The identities
bhutangenayan: But how u solved this
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