Multiplying by a conjugate to make a qifference of squares and using a Pythagorean identity: Example (sin theta)/(1+cos theta)

equipokypip1

equipokypip1

Answered question

2022-09-06

Multiplying by a conjugate to make a qifference of squares and using a Pythagorean identity:
Example:
s i n ( θ ) 1 + c o s ( θ )  (the conjugate of  1 + c o s ( θ ) i s 1 c o s ( θ ) )

Answer & Explanation

Giancarlo Callahan

Giancarlo Callahan

Beginner2022-09-07Added 12 answers

s i n ( θ ) 1 + c o s ( θ ) × 1 c o s θ 1 c o s θ = s i n θ ( 1 c o s θ ) 1 c o s 2 θ = s i n θ ( 1 c o s θ ) s i n 2 θ = ( 1 c o s θ s i n θ )

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