Question

4x tan 15°cot 36°cot 54º tan 75º = 36, then find the
value of x.​

Answer 1

Answer:

x=9

Step-by-step explanation:

4x×tan 15°×cot 36°×cot 54°×tan 75°=36

4x×tan 15×tan 54×cot 54×cot 15=36

(∵Tan A=Cot( 90-A) and vice versa)

4x×tan 15×cot 15×tan 54×cot 54=36

4x×(tan 15×1/tan 15)×(tan 54×1/tan 54)=36

(∵Cot A=1/Tan A and vice versa)

4x×1×1=36

4x=36

x=9

Therefore x=9.