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Lady_Fox [76]
3 years ago
6

Which of the following are identities? Check all that apply. A. sin^2x - cos^2x = 1 B. sin^2x = 1 - cos^2x C. tan^2x = 1 + sec^2

x D. cot^2x = csc^2x - 1
Mathematics
2 answers:
Irina18 [472]3 years ago
5 0

Answer:

Option B and D are correct

Step-by-step explanation:

Option A is incorrect because the  correct  identity we have is

sin^2x+cos^2x=1  

Hence, Option A is incorrect

Option B is correct because we have an identity

sin^2x+cos^2x=1  

\Rightarrow sin^2x=1-cos^2x  

Hence, Option B is correct

Option C  is incorrect because we have an identity

tan^2x+1=sec^2x    not  tan^2x=1+sec^2x

Hence, Option C is incorrect

Option D is correct because we have an identity

1+cot^2x=cosec^2x   which implies cot^2x=cosec^2x-1  

Hence, Option D is correct.

adoni [48]3 years ago
4 0
Hey! The correct identities are: 1 + tan^2x = sec^2x 1 + cot^2x = csc^2x sin^2x + cos^2x = 1 which correspond to B and D 
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