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Prove the identity: (cos θ + sin θ)/(cosθ-sinθ) ≡ sec 2θ + tan 2θ

First rewrite right hand side in terms of sinθ and cosθ, because those are the terms we'll be dealing with on the left hand side: sec2θ+tan2θ = 1/cos2θ + sin2θ/cos2θ, so RHS = (1+sin2θ)/cos2θNow look at the ...
MM
Answered by Margot M. • Maths tutor
8537 Views

Simplify the following quadratic equation: 3x^2 + 20x - 500 = 0.

x = −b ± √(b 2 − 4ac) / 2a x = −20 ± √(20 2 − 4(3)(-500)) / 2(3) x = (3x + 50) (x - 10)
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Answered by Aarnav S. • Maths tutor
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How would I go about solving 3(x-2) = x+7?

First of all, you want to try and get rid of the brackets so the equation is easier to simplify in the next steps. So you multiply the whole bracket by 3. So it is 3x-6 = x+7. Secondly, in order to solve the...
FA
Answered by Finn A. • Maths tutor
8902 Views

Use of microorganisms is popular in medical research and industry. Give two reasons why microorganisms are commonly used.

cheap/inexpensive/low cost; grow/multiply/divide quickly; short life cycle; take up relatively little space; do not require high amounts of expertise to work with; genomes are understood well
KD
Answered by Kate D. • Biology tutor
2544 Views

Wie ist Fräulein Elses Verhältnis zu ihrer Mutter?

Fräulein Else's Beziehung ihrer Mutter kann man vor allem in Else's Reaktion auf die von ihr erhaltenen Briefe erkennen.Immer wenn Else Briefe von ihrer Mutter erhält, betont sie dass sie ihre Mutter "d...
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Answered by Sina M. • German tutor
2172 Views