Question

50 points!! Find the value without using a calculator.


1) tan(-π) 2) tan(-7π/4)

Answer 1

`1) \: tan( - \pi) = tan(\pi) = (sin(\pi))/(cos(\pi)) = ( \: \: \: 0)/( - 1) = 0`

`2) \: tan (\frac{ { - 7\pi} }{4} ) = tan \: ( ( \pi)/(4) + ( - 8\pi)/( \: \: 4) ) \\ = tan \: ( (\pi)/(4) - 2\pi) = tan \: ( (\pi)/(4) ) = 1`

Hope this helps :)

Answer 2

Evaluate

tan

(

7

π

4

)

Ans: -1

Step-by-step explanation:

tan

(

7

π

4

)

=

tan

(

−

π

4

+

8

π

4

)

=

tan

(

−

π

4

+

2

π

)

=

=

tan

(

−

π

4

)

=

−

tan

(

π

4

)

=

−

1