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Express 5cosx - 3sinx in the form Rcos(x+a).

cos(x+a)=cosxcosa-sinxsina so cosa=5 sina=3 which means tana=3/5 a=0.54 RADIANS R=sqrt(52+32). =sqrt(34) so sqrt(34)cos(x+0.54)

EH
Answered by Elizabeth H. Maths tutor
15911 Views

A cyclist rides 10km. In the first 5km, they climb a hill, averaging 10km/h. In the second 5km, they descend the hill, averaging 30km/h. What is their average speed over the full 10km?

A common response from the student for the above question is: “I got 20km/h but it says it’s wrong! help i’m really confused”. The following two paragraphs will outline how I might attempt explain this id...

SB
Answered by Shihabul B. Physics tutor
3574 Views

Describe how the cognitive approach can be used to explain depression.

Beck’s negative triad is a cognitive theory that can be used to explain depression. It suggests that depression results from negative thoughts about the world, the self and the future. For example, someon...

BC
Answered by Beth C. Psychology tutor
4553 Views

What are the disadvantages and advantages of economic growth?

GRUBBES Pros - Higher income tax SO less of a budget deficit, more public funding which could increase AS and reduce Y inequality Evaluate: Laffer curve, LT increase, little evidence it does (depends on w...

AC
Answered by Abi C. Economics tutor
6696 Views

Unsaturated fats change bromine water from orange to colourless. How?

Unsaturated fats usually have a C=C double bond, e.g. vegetable oil. So, it's 'unstable' because of the high concentration of negative charge (electrons). Bromine (B2) is not polarised. However, as it app...

AC
Answered by Abi C. Chemistry tutor
9597 Views

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