Question

Heya !!

Q. 4

tan 3theta × tan 6theta = 1 then what's the value of theta?

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# Devil king

Answer 1

Given : tan 3Ф * tan 6Ф = 1.

= > tan 3Ф = (1/tan 6Ф)

We know that (1/tanФ) = cotФ.

= > tan 3Ф = cot 6Ф

= > tan 3Ф = tan(90 - 6Ф)

= > 3Ф = 90 - 6Ф

= > 3Ф + 6Ф = 90

= > 9Ф = 90

= > Ф =90/9

= > Ф = 10.

Hope this helps!

Answer 2

Hey Brain-ly user your answer is here.....
May be it is helpfull for u..
tan3x × tan6x =1
tan6x=1/tan3x
tan6x=cot3x
tan6x=tan(90°-3x)
6x=90°-3x
9x=90°
[[[x=10°]]]