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why is sin(x) squared plus cos(x) squared 1?

Thinking of sine and cosine as ratios of side lengths in a right angled triangle, sin(x) = o/h and cos(x) = a/h, so the sin(x)^2 + cos(x)^2 becomes (o^2 + a^2)/h^2. By Pyhtagoras, o^2 + a^2 = h^2, so we get ...
MS
Answered by Matthew S. • Maths tutor
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factorise 3A^b+ 12A^2 B^2 + 9 A^5 B^3

3A^2 B(A +4B + 3a^3 B^2)
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Answered by Samuel H. • Maths tutor
4335 Views

Write 3/8 as a decimal

0.375
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Answered by Samuel H. • Maths tutor
5721 Views

How can I calculate the maximum value of the compound angle formulae Rsin(x+a) and Rcos(x+a)?

Often, the compound angle formulae can seem quite offputting, especially since exam pressures can mean the random "R" at the front of an angle addition formulae appears confusing. However, finding ...
LB
Answered by Luke B. • Maths tutor
16075 Views

How do I work out the nth term?

The nth term falls into the topic of linear sequences . A linear sequence is a set of numbers (such as "1, 2, 3, 4, ...") that are connected by a rule , which applies to every number in the sequenc...
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Answered by Luke B. • Maths tutor
193620 Views