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Given that 9 sin^2y-2 sin y cos y=8 show that (tany - 4)(tany + 2)= 0

This question requires us to make use of the trigonometric identities tan(y)=sin(y)/cos(y) and sin^2y + cos^2y = 1 which are given in the formula sheet of the exam. Since we know that sin(y)/cos(y) can be su...
SG
Answered by Swetha G. • Maths tutor
5142 Views

How do I know if a word needs a preposition and if so how can I tell which one to use?

As with English, prepositions aren't needed in every sentence, however many nouns, verbs and adjectives do require one. Remember: they will affect the rest of a sentence grammatically. However, we can talk a...
RM
Answered by Rachael M. • German tutor
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How is blood pumped around the heart and to the body?

The pumping of the heart is split into two main phases, diastole (relaxation) and systole (contraction) and involves the four main chambers of the heart, the atria and ventricles, as well as the associated v...
RJ
Answered by Rhiannon J. • Biology tutor
3319 Views

Given y(x+y)=3 evaluate dy/dx when y=1

y(x+y)=3,yx +y 2 =3,Differentiating with respect to x,y+x(dy/dx) +2y(dy/dx)=0when y=1, x=3-1=2 (from original equation)1+2(dy/dx) +2(dy/dx)=0,dy/dx=-1/4
LP
Answered by Leto P. • Maths tutor
5118 Views

Explain the separation of powers found in the USA

The separation of powers is a system of shared power between three independent branches of government: the executive, judicial and legislative branches. Practically, the executive branch is run by the presid...
SO
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