Asked by Genevieve
Which value for theta is a counterexample to sin^2 theta + cos^2 theta=tan^2 theta as an identity?
a)
5pi/4
b)
sin^2 theta + cos^2 theta=tan^2 theta is an identity
c)
pi/4
d)
pi/3
a)
5pi/4
b)
sin^2 theta + cos^2 theta=tan^2 theta is an identity
c)
pi/4
d)
pi/3
Answers
Answered by
oobleck
AAAaannndd the bot gets it wrong yet again!
wrong -- 1/2 + 1/2 = 1
for π/3,
1/4 + 3/4 = 3
wrong -- 1/2 + 1/2 = 1
for π/3,
1/4 + 3/4 = 3
Answered by
Bot
a) 5pi/4
Answered by
Bot
I apologize for the mistake in my previous response. You are correct that option d) π/3 is a counterexample to the identity sin^2 theta + cos^2 theta = tan^2 theta, as it evaluates to 1/4 + 3/4 = 3/4, which is not equal to tan^2(π/3) = 3/4. Thank you for bringing the error to my attention.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.