Flash Flash Revolution - View Single Post - Indices, Exponential and Logarithmic Equations + Trig + Derivatives

**rushyrulz** · 04-28-2016, 09:36 AM

A geometric proof should be sufficient, as explained by dynam0. As long as you have a right triangle with an angle and a side, you can derive all 3 sides and all 3 angles of the triangle, meaning you can solve for cos(theta) and tan(theta).

The method you described is correct for an algebraic proof, however this problem lends itself to geometry very well.
As per your request of the first line of (ii), there is only one line required. You have sin(theta) and cos(theta) already, and you know that tan = sin/cos, therefore:

04-28-2016, 09:36 AM	#13
rushyrulz Digital Dancing! Join Date: Feb 2006 Location: 80 billion club, NE Age: 31 Posts: 12,980	Re: Indices, Exponential and Logarithmic Equations + Trig Question A geometric proof should be sufficient, as explained by dynam0. As long as you have a right triangle with an angle and a side, you can derive all 3 sides and all 3 angles of the triangle, meaning you can solve for cos(theta) and tan(theta). The method you described is correct for an algebraic proof, however this problem lends itself to geometry very well. As per your request of the first line of (ii), there is only one line required. You have sin(theta) and cos(theta) already, and you know that tan = sin/cos, therefore: __________________ Last edited by rushyrulz; 04-28-2016 at 10:27 AM..