Wikipedia
half angle formulae : In various applications of trigonometry, it is useful to rewrite the trigonometric functions (such as sine and cosine) in terms of rational functions of a new variable t. These identities are known collectively as the tangent half-angle formulae because of the definition of t. These identities.. More from Wikipedia
half angle formulae : See also: Tangent half-angle formula. These can be shown by using either the sum and ..... More from Wikipedia
Half-Angle Formulae
If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that where 2s = a + b + ..
If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that where 2s = a + b + ..Find the exact value of tan 150° using half-angle formula.
Find the exact value of tan 150° using half-angle formula. => - 3 3 or 3 3 or 3 or - 3..
Question : I'm confused as to when I should use each one.
Also, can someone breakdown using Half Angle Formulas for me briefly?
Answer : If you are given a value of a function of 2x (2a,2theta) and need the value of x you would use the half angle formula. If you need the value of 2x and only have a relationship equal to a function of x, then you would need the double angle formula. Wolfram has a good explanation of them. Here is another source: http://www.sosmath.com/trig/douangl/douangl.html.. More from Yahoo Answers
Answer : If you are given a value of a function of 2x (2a,2theta) and need the value of x you would use the half angle formula. If you need the value of 2x and only have a relationship equal to a function of x, then you would need the double angle formula. Wolfram has a good explanation of them. Here is another source: http://www.sosmath.com/trig/douangl/douangl.html.. More from Yahoo Answers
Question : Use the half-angle formula to come up with an exact expression. You do now have to simplify the answer.
Answer : / tanx/2=sinx/(1+cosx) tan(pi/16)=sin(pi/8)/(1+cospi/8) sinpi/8=sqrt(1-cospi/4)/2 cospi/8=sqrt(1+cospi/4)/2 cospi/4=sinpi/4=sqrt2/2 sub and get values.. More from Yahoo Answers
Answer : / tanx/2=sinx/(1+cosx) tan(pi/16)=sin(pi/8)/(1+cospi/8) sinpi/8=sqrt(1-cospi/4)/2 cospi/8=sqrt(1+cospi/4)/2 cospi/4=sinpi/4=sqrt2/2 sub and get values.. More from Yahoo Answers
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