Which of the following is an incorrect expression of a trig function in terms of sin 0 (lines through all zeros)
a. csc 0 = 1 / sin 0
b. cot 0 = sqrt. 1-sin^20 / sin 0
c. tan 0 = sin 0 / sqrt. 1-sin ^2 0
d. sec 0 = 1/ sqrt. 1-sin^2 0

Question

Which of the following is an incorrect expression of a trig function in terms of sin 0 (lines through all zeros)
a. csc 0 = 1 / sin 0
b. cot 0 = sqrt. 1-sin^20 / sin 0
c. tan 0 = sin 0 / sqrt. 1-sin ^2 0
d. sec 0 = 1/ sqrt. 1-sin^2 0

anonymous · Answer

@aum :)

aum · Answer

csc(x) = 1 / sin(x).  Therefore, a is correct.  (Note: They want the incorrect choice).
Can you try the other choices?

anonymous · Answer

How do I do that? Do I use my calculator?

aum · Answer

No, you use trig identities.

aum · Answer

sqrt( 1 - sin^20)  / sin 0 )
sqrt( 1 - sin^2(x)) / sin(x) ) = sqrt( cos^2(x) ) / sin(x) = cos(x) / sin(x) = cot(x).
Therefore, b is correct.

aum · Answer

Did you try choices c and d.  Remember. they want the choice that is incorrect.  So a and b are not the answer because they are correct.