changing sign +/ -

sine curve

cosine curve

tangent curve

 

 

Changing sign of ratios with increasing angle

In turn, look at each ratio as the value of x and y changes with increasing angle.

If you are not sure about sign division look back here

 

GCSE Maths Tutor has free videos for many GCSE Maths topics

 

The results can be summarised in this diagram:

 

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The Sine Curve

note:

• the sine graph starts at zero
• it repeats itself every 360 degrees
• y is never more than 1 or less than -1
• a sin graph 'leads' a cos graph by 90 degrees

 

Why not try out the new GCSE Maths interactive pages?

 

The Cosine Curve

note:

• the cosine graph starts at one
• it repeats itself every 360 degrees
• y is never more than 1 or less than -1
• a cos graph 'lags' a sin graph by 90 degrees

 

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The Tangent Curve

note:

• the tangent graph starts at zero
• it repeats itself every 180 degrees
• y can vary between numbers approaching infinity and minus infinity

 

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GCSE MATHS TOPICS

©2009 gcsemathstutor

NUMBER

number types

LCM

HCF

operators (+ - / x)

powers & roots

growth & decay

surds

sequences

fractions

decimals

standard form

percentages

ratio & proportion

approximation

ALGEBRA

basics

brackets

indices

fractions(+-/x)

simple equations

simultaneous eqs.

quadratic eqs.

trial & improvement

proportion

graphs-linear

graphs-functions

graphical solutions

inequalities

SHAPE & SPACE

angles

bearings

triangle similarity

triangle congruency

Pythagoras

the Sine Ratio

the Cosine Ratio

the Tangent Ratio

Sin,Cos,Tan compared

Sine, Cosine Rules

circles

vectors

transformations

loci

length & area

volume

constructions

INFO HANDLING

time series graphs

representing data

cumulative frequency

histograms

mean, mode, median

probability

WORKSHEETS (.pdf)

changing the subject I

substitution/eval. I

rationalising surds I

rationalising surds II

rationalising surds III

expanding surds IV

surds (+-/x) V

fractions (+ -) I

fractions vulgar II

%'s to decimals I

decimals to %'s II

% of a number III

fractions to %'s IV

decimal multiplication

completing the square

MORE . . . . .

EXAM PAPERS(.pdf)

Edexcel P1 linear

Edexcel P1 linear ans.

Edexcel P2 linear

Edexcel P2 linear ans.

Edexcel P3 linear

Edexcel P3 linear ans.

Edexcel P4 linear

Edexcel P4 linear ans.

Edexcel U.1A(F) mod.

Edexcel U.1B(F) mod.

Edexcel U.1AB(F) ans.

Edexcel U.1A(H) mod.

Edexcel U.1B(H) mod.

Edexcel U.1AB(H) ans.

Edexcel U.2S1(F) mod.

Edexcel U.2S1(H) mod.

Edexcel U.2S2(F) mod.

Edexcel U.2S2(H) mod.

Edexcel U.2S1(FH)ans.

Edexcel U.2S2(F)ans.

Edexcel U.2S2(H)ans.

Edexcel U.3A(F) mod.

Edexcel U.3B(F) mod.

Edexcel U.3A(F) ans.

Edexcel U.3B(F) ans.

Edexcel U.3A(H) mod.

Edexcel U.3B(H) mod.

Edexcel U.3A(H) ans.

Edexcel U.3B(H) ans.

AQA4301 1 J08(F)

AQA4301 1 J08(F)ans

AQA4301 2 J08(F)

AQA4301 2 J08(F)ans

AQA4301 1 J08(H)

AQA4301 1 J08(H)ans

AQA4301 2 J08(H)

AQA4301 2 J08(H)ans

AQA4301 1 N08(F)

AQA4301 1 N08(F)ans

AQA4301 2 N08(F)

AQA4301 2 N08(F)ans

AQA4301 1 N08(H)

AQA4301 1 N08(H)ans

AQA4301 2 N08(H)

AQA4301 2 N08(H)ans

MORE . . . . .