3 years ago

Tan^2 70° -sec^2 70°

Mathematics

1 answer:

kipiarov [429]3 years ago

4 0

Answer:

-1

Step-by-step explanation:

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

We know that,

$\sec^2\theta-\tan^2\theta=1$ ...(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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Tan^2 70° -sec^2 70°​

Tan^2 70° -sec^2 70°