Question

tan (1665)
find the value of tan​

Answer 1

Answer:

1

Step-by-step explanation:

hello

tan(1665)

can be written as

tan(1620+45)

tan(9π+45)

tan(8π+π+45)

tan[ 8π+(π+45) ]

for any even multiple of π

tan remain unchanged

so it is tan(π+45)

and in third quadrant tan is positive

so is equal to tan45 which is equal to 1

hope it helps

Answer 2

Answer:

The value of tan(1665) = 1

Step-by-step explanation:

Given that tan(1665)

tan(1620+45)

=tan (9(180) + 45)

=tan(9π + 45)

We know that tan(180° + θ) = tanθ

In third quadrant (180° +θ) , tan is positive.

In first quadrant tan positive.

tan(45) = 1

tan(1665) = tan(9Π + 45) = tan(45) = 1

Therefore, tan(1665) = 1.