Monday

April 21, 2014

April 21, 2014

Posted by **Jack** on Monday, September 13, 2010 at 10:53pm.

sec(x)^2= 3tanx +1

*** It is suppose to be the sqaure root of 3 but i could find the symbol so just wrote the 3 without it but it is suppose to be the square root of 3 times tanx + 1

- calculus -
**drwls**, Tuesday, September 14, 2010 at 2:22amRewrite this using the trig identity

sec^2(x) = 1 + tan^2(x)

Then treat tanx as a new variable, y

1 + tan^2x = sqrt3*(tanx + 1)

1 + y^2 = sqrt3*(y + 1)

y^2 -sqrt3*y -(sqrt3 -1) = 0

Solve the quadratic equation for y and then use x = arctan y to solve for x

**Related Questions**

Algebra - Help, how do I do these? 1. 8y+4(2+y)=3(y-4)+10y 2. Square root symbol...

math - What does it mean to have the sqaure root of 5 with a 2 in front of it? ...

calculus - x^2 + y^2 = 25 3x + y = 15 Find the two points of intersection. I don...

Math To: Reiny - This is one whole question: (12) (10xy^3) (3x^2y^2) (5x) (2y) ...

Calculus - Solve: The posistion of a particle moving along a coordinate line is ...

Radical exponents - Use rational exponents to write 4suare root 5 * 2 sqaure ...

MATH Confused - How can I find the square root symbol to submit problems? Every ...

calculus - (3x-4)^5 x(sqaure root)9x^2+4

Algebra Word problem - I don't know how to put in a square root symbol here so ...

Calculus - Solve : sec^2(x)= 3*tanx + 1 on [0,radian-180 degrees) - couldnt ...