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Copyright © 2022 Dr Amir - All Rights Reserved Dr Amir - Year 11 Mathematics Tutoring - Year 11 Dr Amir Test - Test 111 TRIGONOMETRIC IDENTITIES
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* Indicates required question
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*
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1. Simplify:
*
d) cos (x)
c) sin (x)
b) sec (x)
a) cosec (x)
2. Simplify:
*
b)
c)
a)
d)
Required
3. Simplify:
*
d) 2sin(x)cos(x)
b) cos(x)
c) sin(x)cos(x)
a) sin(x)
Required
4. Simplify:
*
a) sin(73)
d) 1
b) cos(73)
c) cos(17)
Required
5.Dr Amir would like to simplify the following relationships to make it independent of θ: x=cosec(θ), y=cot(θ)
*
d) None of the above.
b) x-y =1
a) xy=1
c) (x-y) (x+y) = 1
Required
6. Simplify:
*
d) None of the above.
c) cos(x)
a) 1
b) sin(x)
Required
7. Simplify:
*
b) tan(x)
a) 1
d) None of the above.
c) cot(x)
Required
8. Simplify:
*
c) sin(x)
d) None of the above
a) cos(x)
b)
Required
9. Simplify:
*
a) ln(-x)
d) 0
b) lnx
c) 1
Required
10. Dr Amir would like to simplify x+y to make it independent of θ if x= ln|tan(θ)| and y=ln|cot(θ)|?
*
d) None of the above.
a) 1
c) 0
b) 2
Required
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