Which of the following are not trigonometric identities? check all that apply. a. tan^2x+sec^2x=1. b. sin^2x+cos^2x=1. c. sec^2x-tan^2x=1. d. sec^2x+csc^2x=1.

Option (A) and (D) are not trigonometric identities.

Step-by-step explanation:

Option (A )  tan²x + sec²x = 1

Since and

put these in left hand side of tan²x + sec²x = 1

+

+

Take L.C.M of above expression,

since, sin²x  = 1 - cos²x

we are not getting 1

so, this is not a trigonometric identity.

Option (A) is correct option

Option (B)  sin²x + cos²x = 1

This is an trigonometric identity

Option (C)  sec²x - tan²x = 1

Divide the trigonometric identity sin²x + cos²x = 1 both the sides by cos²x so, we get

subtract both the sides by tan²x in above expression

Hence, this is the trigonometric identity.

Option (D)  sec²x + cosec²x = 1

Since and

put these in left hand side of sec²x + cosec²x = 1

we are not getting 1

so, this is not a trigonometric identity.

Option (D) is correct option.

Hence, Option (A) and (D) are not trigonometric identities.

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step-by-step explanation:

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