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Express 3cos(theta) + 5sin(theta) in the form Rcos(theta - alpha) where R and alpha are constants, R>0 and 0<alpha<90. Give the exact value of R and the value of alpha to 2dp.

Write out identity:

Rcos(theta - alpha) = Rcos(theta)cos(alpha) + Rsin(theta)sin(alpha) from formula booklet

Write out in form of question so it's easier to compare:

3cos(theta) + 5si...

OS
Answered by Olivia S. Maths tutor
15328 Views

What is the difference between a Bronsted Lowry acid and a Lewis Acid?

In chemistry there are two distinct theories to explain acid-base reactions; the Bronsted-Lowry and Lewis acid-base theories. The Bronsted-Lowry theory talks about removal or transfer of ...

ME
Answered by Michael E. Chemistry tutor
46110 Views

how to write down the differential equation from a word problem, involving rate of change.

Read the word problem more than once to make sure you fully understand what is being asked and write down the variables involved. Then try to write down all the derivatives in terms of each other, using t...

CG
3349 Views

How do you use position words in Mandarin?

Some position words:

前边 qián - in front

后边 hòu - behind

左边 zuǒ - left

右边 yòu - right

上边 shàng - above

下边 xià - below

里边 lĭ - inside

外边 wài - outside...

SC
Answered by Serena C. Mandarin tutor
3965 Views

Differentiate: y = 2 ^ x

y = 2 ^ x

take ln of both sides

ln( y) = ln (2 ^ x)

using the log rules we can bring the power of x down in front of the ln

ln( y ) = x*ln(2)

differentiate both sides wr...

SH
Answered by Shantu H. Maths tutor
54897 Views

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