Question

if 4x tan 15° cot 54° tan75°=36 ,then find x​

Answer 1

Answer:

plz mark

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Note that if 0≤α≤π2 (0∘ to 90∘), then

cos(π2−α)=cosπ2cosα+sinπ2sinα=sinα.

In terms of degrees, cos(90−α)=sin(α).

So if you look at tan(15∘) and tan(75∘)=tan(90∘−15∘), we have:

tan(15)tan(75)=sin(15)cos(15)sin(75)cos(75)=sin(15)sin(75)sin(75)sin(15)=1.

Similarly with tan30tan60. So the entire product is just equal to tan(45). And tan(45∘) is equal to...