In A and B, cosine is given..find sine and tangent if x liesin the specific interval. A.) cos (x) = 1/3 x in [ pi/2, 0] B.) cos (x) = -5/13 x in [ pi/2, pi] C.) s = sec( pi x/2 )...Find the period. Whatsymmetries does the function have? D.) cos (x + pi /4) -1. What is the period?

Violet Woodward 2022-07-28 Answered
In A and B, cosine is given..find sine and tangent if x liesin the specific interval.
A.) cos ( x ) = 1 / 3 x [ π / 2 , 0 ]
B.) cos ( x ) = 5 / 13 x [ π / 2 , π ]
C.) s = sec ( π x / 2 )...Find the period. What symmetries does the function have?
D.) cos ( x + π / 4 ) 1. What is the period?
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Answers (1)

eyiliweyouc
Answered 2022-07-29 Author has 15 answers
(A) since [ 0 , π / 2 ] comes in first interval so sine and tan are positive
so; sin ( x ) = 1 cos 2 ( x ) = ( 9 x 2 ) / 3
so; tan ( x ) = sin ( x ) / cos ( x ) = ( 9 x 2 ) / x
(B) since [ π / 2 , π ] comes in second interval sosine is positive and tan is negative.
so; sin ( x ) = 1 cos 2 ( x ) = ( 169 25 x 2 ) / 13
so; tan ( x ) = sin ( x ) / cos ( x ) = ( 169 25 x 2 ) / 5 x
(c)the period of sec ( π x / 2 ) = 2
(d)the period of tan ( x + π / 4 ) = π / 2
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