kdeschene1
kdeschene1 kdeschene1
  • 16-02-2022
  • Mathematics
contestada

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


1) tan(-π) 2) tan(-7π/4)

Respuesta :

GoldenS100
GoldenS100 GoldenS100
  • 16-02-2022

Evaluate

tan

(

7

π

4

)

Ans: -1

Explanation:

tan

(

7

π

4

)

=

tan

(

−

π

4

+

8

π

4

)

=

tan

(

−

π

4

+

2

π

)

=

=

tan

(

−

π

4

)

=

−

tan

(

π

4

)

=

−

1

Answer Link
Jiangshi
Jiangshi Jiangshi
  • 16-02-2022

[tex]1) \: tan( - \pi) = tan(\pi) = \frac{sin(\pi)}{cos(\pi)} = \frac{ \: \: \: 0}{ - 1} = 0[/tex]

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

Hope this helps :)

Answer Link

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