Can someone please help me solve the following trig equations please? Thanks 1-tan^2(x)/1+tan^2(x) + cos(x) = 0 (sqrt(3)+1)cos^2(x) - 1 = (sqrt(3)-1)sin(x)cos(x) Thanks heaps
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Originally Posted by deltaxray Can someone please help me solve the following trig equations please? Thanks 1-tan^2(x)/1+tan^2(x) + cos(x) = 0 (sqrt(3)+1)cos^2(x) - 1 = (sqrt(3)-1)sin(x)cos(x) Thanks heaps Hi Did u mean solve the trigonometric equation ? If so , For (1) , Then , i think you should be able to continue from here .
Thanks Mate.
Hello deltaxray Welcome to Math Help Forum! Originally Posted by deltaxray Can someone please help me solve the following trig equations please? Thanks 1-tan^2(x)/1+tan^2(x) + cos(x) = 0 (sqrt(3)+1)cos^2(x) - 1 = (sqrt(3)-1)sin(x)cos(x) Thanks heaps For question 2, divide both sides by : Then express everything in terms of . Re-arrange as a quadratic in , and you'll find it factorises into: Can you fill in the gaps? Grandad
Thanks granddad. I got it
by inspection, pi is a root to the equation, the other 2 roots are found already; x = {pi/3, pi, 5pi/3} the graph below confirms it
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