TRIGONOMETRIC IDENTITIES AND GRAPHS OF INVERSE TRIGONOMETRIC RATIOS PYTHAGORAS THEOREM : LSUS

FURTHER MATHEMATICS SSS2 FIRST TERM

WEEK 10

TRIGONOMETRIC IDENTITIES AND GRAPHS OF INVERSE TRIGONOMETRIC RATIOS PYTHAGORAS THEOREM

Example

If asinѳ + bcosѳ = p

andacosѳ – bsinѳ = q

show that a2 + b2 = p2 + q2

 

Solution

asinѳ + bcosѳ = p                                         …(1)

acosѳ – bsinѳ = q                                          …(2)

Squaring both sides of (1)

          (asinѳ + bcos)2 = p2

: a2 sin2ѳ + 2absinѳ cosѳ + b2cos2ѳ = p2          …(3)

Squaring both sides of.... View More

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