If Y = tan35°, then the value of (2tan 55° + cot 55° ) is :
Answer & explanation
Correct answer: option 1
We know ,
tanA = cot ( 90º - A )
Now,
2tan 55° + cot 55°
= 2cot 35° + tan 35°
= 2\(\frac{1}{tan35°}\)+ tan 35°
= 2\(\frac{1}{Y}\)+ Y { Y = tan 35° }
= \(\frac{2 + Y²}{Y}\)