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I SVX3LE Name Math 30-1 6.1 and 6.2 Trigonometric Identities Quiz 1. Determine the value of each expression. a) log2 cos(57 b) log. (tan ( 5x c) sin

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Math 30-1:Trigonometry

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I SVX3LE
Name
Math 30-1 6.1 and 6.2 Trigonometric Identities Quiz
1. Determine the value of each expression.
a) log2 cos(57
b) log. (tan ( 5x
c) sin log, mi
2. Simplify each to a single trigonometric expression involving a primary trig function.
a) csc 0 tan 0
b)
tan 0
cos e -sec e
c)
cot x sec x
Circle the three expressions that are equal when a > 1.
a
cot 0
sin 0
a cos e
tan 0
a
-cos e
sin 0
a
4. Simplify -
COS x
1-sin? x
2 to a single trigonometric function. Determine the non-permissible values of the
identity.
5. Verify sec0-cos 0 = sin 0 tan 0 numerically for the value 0=135
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6. Use sum, difference, or double angle identities to determine an exact value for each expression.
a) 1 - 2sin?(159)
b)
2 tan It
6
1 - tan?(
7. Use sum, difference, or double angle identities to expand and then simplify each expression.
a) tan (n + A)
b) cos(7+ A)-cos(7 - A)
8. Rewrite cos20 - 1
2sin 0
as a single primary trigonometric function.
9. If sin A =-, and ZA is in quadrant IV, determine the exact value of sin 2A
10. Given tan a =
12
5
and tan B = 2, where Osa s " and I S Bsox
", determine the exact value for
each.
a) cos (@+ p)
b) tan ( 28)
2

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