dev question # 4
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Developing Expert Voices Question 4TRANSCRIPT
Question #4
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
Lets make a list of the identities we can use, so we can see thing in a clearer view.
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Reciprocal Identities
tanx =sinxcosx
cotx = cosx sinx
secx 1cosx =
cscx 1sinx=
cotx1
= tanx
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
Lets make a list of the identities we can use, so we can see thing in a clearer view.
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Reciprocal Identities
tanx
cotx
=sinxcosx
= cosx sinx
secx 1cosx =
cscx 1sinx=
cotx1
= tanx
Special Trigonometric Identities
sin 2cos 2 =+ 1
1 + cot 2 = csc 2
1 + tan2 = sec 2
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
DO NOT CROSS
DO NOT CROSS
DO NOT CROSS
Drop in a wall and DO NOT CROSS IT!
Now lets solve this baby to see if Moon Light Knight is Tuxedo Mask.
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
DO NOT CROSS
DO NOT CROSS
DO NOT CROSS
tan2 x + 1 csc x2 1
Remember that reciprocal identity? tanx =
sinxcosx
We can sub it in.
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
DO NOT CROSS
DO NOT CROSS
DO NOT CROSS
tan2 x + 1 csc x2 1
Remember the special trig identities. With a little rearranging we can sub them in.
sec x2 1 )( + 1
cot x2
1tan2 = sec 2
1cot 2 = csc 2
Reduces
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
DO NOT CROSS
DO NOT CROSS
DO NOT CROSS
tan2 x + 1 csc x2 1
sec x2 1 )( + 1
cot x2
Reduces
sec x2
cot x2This is what it looks like cleaned up.
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
DO NOT CROSS
DO NOT CROSS
DO NOT CROSS
tan2 x + 1 csc x2 1
sec x2 1 )( + 1
cot x2
Reduces
sec x2
cot x2
sec x2 cot x21 )(Took the reciprocal to get
it out of the denominator.
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
DO NOT CROSS
DO NOT CROSS
DO NOT CROSS
tan2 x + 1 csc x2 1
sec x2 1 )( + 1
cot x2
Reduces
sec x2
cot x2
sec x2 cot x21 )(
sec x2 tan x2Remember that reciprocal identity, Do a little rearranging and we can subbed it in.
cotx1
=tanx
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
DO NOT CROSS
DO NOT CROSS
DO NOT CROSS
tan2 x + 1 csc x2 1
sec x2 1 )( + 1
cot x2
Reduces
sec x2
cot x2
sec x2 cot x21 )(
sec x2 tan x2
sec x2 tan x2
Remember that reciprocal identity. We can sub it in. tanx =
sinxcosx
Prove that the Moon Light Knight is Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
sin x2cos x2 +1
csc x2 1 = sec x sin x2cos x2
2
Tuxedo Masks Equation is:
sec x sin x2cos x2
2
Moon Light Knights Equation is: sin x2
cos x2 +1
csc x2 1
DO NOT CROSS
DO NOT CROSS
DO NOT CROSS
tan2 x + 1 csc x2 1
sec x2 1 )( + 1
cot x2
Reduces
sec x2
cot x2
sec x2 cot x21 )(
sec x2 tan x2
sec x2 tan x2
Q.E.D
Moon Light Knight is in deed Tuxedo Mask.
=Moon Light Knight Tuxedo Mask
Question # 4Solved!!