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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)

Answered by Elizabeth H. • Maths tutor

14920 Views

What is the difference between a vector and a scalar quantity?

A scalar quantity is one that has a magnitude (size) only, and no associated direction in which that size 'points'. A good example of a scalar is temperature, because temperature has a size (for example 2...

Answered by Frazer N. • Physics tutor

4995 Views

Simultaneously solve the equations 3x+2y=36 and 5x+4y=64

The easiest way to solve a simultaneous equation is by the method of substitution. First of all, we take the first equation, and rearrange it so that it is in terms of y. Or, in other words, rearrange it ...

Answered by Finlay S. • Maths tutor

10827 Views

What do I need to do to get into medical school?

Medical schools are always looking for well-rounded individuals. They are looking for those with academic successes but that isn't the only criteria that will be looked at. They want people that have show...

Answered by Catriona K. • Medical School Preparation tutor

1662 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...

Answered by Shihabul B. • Physics tutor

3311 Views