Year 10 Term 4

Trig

100

In which quadrants are values for sin negative?

3 and 4

200

solve cosx=1/2

60 degrees

300

Determine the exact value of sin330^o 

-1/2 

400

What is the period of the function

y=2sin4x

90^o

500

solve 

cos3x=1/2  for 0 <x < 360

20^o 100^o 140^o 220^o 260^o 340^o

Log

100

solve

log₂2 + log₂8

4

200

Convert 3^x=27 to log form

log₃27=x

300

Simplify

log₄x + log₄8 - log₄2

log₄4x

400

Solve 

log₉3 + log₉x=2

27

500

Solve for x

log_a(x+1) - log_a5 = log_ax

1/4 

Worded

300

Jese bought two headlight bulbs for her car, one new and one second hand. The probability that the headlights blow is 0.05 for the new bulb and 0.53 for the second hand. What is the probability that both the bulbs blow?

0.0265

400

Kim invests $500 in an account that pays 3.3% p.a. compounding quarterly. How long will the investment take to reach $5 000?

70 years and 1 month

500

A sample of carbon from an ancient midden has only 40% of the original amount of carbon-14 present. The carbon-14 is known to have decayed at a rate of 1.2% per century from the time the midden was used. How old is the midden?

7590 years