Hi! ❄
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The rule for this sequence is 'multiply by -6'.
Verification ↓
-3*(-6)18
18*(-6)-108
So the rule for the sequence is 'multiply by -6'
And the Common ratio is -6.
Hope that made sense !!
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Linear, 4 is added each time.
Answer:
Step-by-step explanation:
Required to prove that:
Sin θ(Sec θ + Cosec θ)= tan θ+1
Steps:
Recall sec θ= 1/cos θ and cosec θ=1/sin θ
Substitution into the Left Hand Side gives:
Sin θ(Sec θ + Cosec θ)
= Sin θ(1/cos θ + 1/sinθ )
Expanding the Brackets
=sinθ/cos θ + sinθ/sinθ
=tanθ+1 which is the Right Hand Side as required.
Note that from trigonometry sinθ/cosθ = tan θ
Answer:
Choose a point with a negative x coordinate and a positive y coordinate.
Step-by-step explanation:
The quadrants are labeled counter clockwise 1, 2, 3, and 4.
Quadrant I - has x and y coordinate both positive.
Quadrant 2 - has x coordinate negative and y coordinates positive.
Quadrant 3 - has x and y coordinates both negative.
Quadrant 4 - has x coordinates positive and y coordinates negative.
Since the point is in quadrant 2, choose a point where x is negative but y is positive like (-3, 2).
9 because it’s -3-(-12) which is -3+12= 9