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Trig Identities Quiz A
供稿人: Burton
(原作者: Crouch)
Simplify the expression.

secx

cscx

cosx

csc2x

tanx

sinx

secx -cosx

     tanx

Simplify

sinx

tanx

cosx

cos2x

For each expression in Column I, choose the expression

in Column II that completes an identity.

tanxcscx

cosx/sinx
cos(-x)
sin2x
Column I
type letter in box
 E.  cscx
C.  secx
D.  1-cos2x
A.  cosx
B.  1/tanx
Column II
-1+sin2x

-tanxcosx

sec2x -1

cscx/secx

tanx/sec(-x)
Column I

For each expression in Column I, choose the expression

in Column II that completes an identity.   Type LETTER in the box.

D.  sin2x/cos2x
C.  sinx
 E.  cotx
B.  sin(-x)
A.  -cos2x
Column II
Simplify

cotxsecx

    cscx

cosxsinx

 1

1/sinxcscx

cos2x/sinx

Simplify

tanx

cscx

sinx/cosx

sin2x

sin2x/cosx

1/cosx

Simplify

SinβTanβ+Cosβ

CosxSinx

 Secx

1/Cos2x

Sin2x/Cosx

Simplify

tan4x+2tan2x+1

2tan2x+1

 sec2x-1

tan2x+1

sec4x

Simplify

csc3x-csc2x-cscx+1

cscx+1

 1

cot2x(cscx-1)

cos2x(sinx-1)

Simplify

     1     +     1    

1+cosx   1-cosx

 

2sin2x

 2csc2x

2sec2x

2cos2x

Simplify

 sin2x

1-cosx

 1+cosx

sin2x(1+cosx)

sin2x/cosx

1+sinx

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