litzy97602 litzy97602
  • 23-01-2021
  • Mathematics
contestada

tan^2 70° -sec^2 70°​

Respuesta :

Muscardinus Muscardinus
  • 28-01-2021

Answer:

-1

Step-by-step explanation:

We need to find the value of tan² 70° -sec² 70°​.

We know that,

[tex]\sec^2\theta-\tan^2\theta=1[/tex] ...(1)

We can write the given expression as :

tan² 70° -sec² 70° = -(-tan² 70° +sec² 70°)

=-(sec² 70°-tan² 70°)

Using identity (1)

=-(1)

= -1

Hence, the value of the given expression is -1.

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