Solve for 0=<x<360 : 2((tanx)^2) + ((secx)^2) = 1

First step I would take would make it look less intimidating by converting all components into sin and cos i.e

2(((sinx)/(cosx))^2) + 1/((cosx)^2) = 1

Notice that there is a common denominator of cosx^2    so I would multiply this up:

2((sinx)^2) + 1 = (cosx)^2

Eliminate cos by putting it in the form of sin using the trig identiy (cosx)^2 = 1 - (sinx)^2

so we have:

2((sinx)^2) + 1 = 1 - (sinx)^2

rearranging we obtain

3((sinx)^2) = 0

(sinx)^2 = 0

sinx = 0

In between 0 and 360, the sine function is 0 at 0 and 180 (360 is also a solution but not in the range)

so x = 0, 180

Bryan P. A Level Maths tutor, GCSE Maths tutor, Mentoring -Personal S...

1 year ago

Answered by Bryan, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Liam M.

Degree: Mathematics (Bachelors) - St. Andrews University

Subjects offered:Maths, Physics


“I have a real passion for Maths and Physics and would relish the opportunity to pass this passion on to others! ”

Timothy N. A Level Design & Technology tutor, GCSE Design & Technolog...
£26 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Science+ 3 more

Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my years of experience tutoring, we will be able to surpass the grades you want!”

£22 /hr

Ben T.

Degree: Engineering (Bachelors) - Cambridge University

Subjects offered:Maths, Physics+ 4 more

-Personal Statements-
-Oxbridge Preparation-

“Hi there! I’m your friendly neighbourhood Cambridge grad, brimming with tricks and enthusiasm for Maths, Sciences and French. To learn more, view my profile...”

About the author

£22 /hr

Bryan P.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“I am currently a BSc Mathematics student at the University of Bristol and I am already no stranger to teaching.I have worked as a teaching assistant in my secondary school's maths department where I also led one-on-one sessions with ...”

You may also like...

Posts by Bryan

Find the exact solution to: ln(x) + ln(7) = ln(21)

Solve for 0=<x<360 : 2((tanx)^2) + ((secx)^2) = 1

Write sqrt(50) in the form Asqrt(50) where A is an integer

Other A Level Maths questions

A curve has equation y = 4x + 1/(x^2) find dy/dx.

How do I simply differentiate and what does a differential mean?

How can I derive an equation to find the sum of an arithmetic sequence?

If n is an integer prove (n+3)^(2)-n^(2) is never even.

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss