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Stella [2.4K]
3 years ago
6

Verify identities Will give BRAINLIST do not give me trash!!

Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

See proof below

Step-by-step explanation

cot^2(x) - csc^2(x) = -1

In trigonometry identity

cot^2x = cos²x/sin²x

Csc²x = 1/sin²x

Substitute into the original expression

cos²x/sin²x - 1/sin²x

Find the LCM

(Cos²x-1)/sin²x .... *

Recall that sin²x+cos²x = 1

Sin²x = 1-cos²x

-sin²x = -1+cos²x

-sin²x = cos²x-1 .... **

Substitute ** into *

(Cos²x-1)/sin²x

-sin²x/sin²x

= -1 (RHS)

Therefore cot^2(x) - csc^2(x) = -1 (Proved!)

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