Prove that seca+tana=2x, Mathematics

Assignment Help:

If secA= x+1/4x, prove that secA+tanA=2x or  1/2x.

Ans:    Sec? = x +  1/4x

⇒ Sec2? =( x + 1/4x)2                             (Sec2?= 1 + Tan2?)

Tan2? = ( x + 1/4x)2-1

Tan2? = ( x - 1/4x)2

Tan? = + x - 1/4x

Sec? + Tan? = x + 1/4x + x-1/4x

=2x or 1/2x


Related Discussions:- Prove that seca+tana=2x

Algebra 1, Im having trouble with this word problem: The three Math Idol j...

Im having trouble with this word problem: The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have be

Faltings theorem, What is Faltings Theorem? Explain Faltings Theorem

What is Faltings Theorem? Explain Faltings Theorem

MARKET TARGETING STATERGIES, A MANUFACTURING UNIT IS INTERESTED IN DEVELOPI...

A MANUFACTURING UNIT IS INTERESTED IN DEVELOPING A BENEFIT SEGMENTATION OF THE CAMERA MARKET. SUGGEST SOME MAJOR BENEFIT SEGMENT WITH MARKET TARGETING STRATEGIES?

Find a general solution to the differential equation, Example: Find a gene...

Example: Find a general solution to the subsequent differential equation. 2 y′′ + 18 y + 6 tan (3t) Solution First, as the formula for variation of parameters needs coe

Solving trig equations, Solving Trig Equations : Here we will discuss on s...

Solving Trig Equations : Here we will discuss on solving trig equations. It is something which you will be asked to do on a fairly regular basis in my class. Let's just see the

#titlealgebra.., help solve these type equations.-4.1x=-4x+4.5

help solve these type equations.-4.1x=-4x+4.5

Find the value of x of eagle , A fox and an eagle lived at the top of a cli...

A fox and an eagle lived at the top of a cliff of height 6m, whose base was at a distance of 10m from a point A on the ground. The fox descends the cliff and went straight to the p

Detemine multiplying a polynomial by a monomial, Detemine Multiplying a Pol...

Detemine Multiplying a Polynomial by a Monomial? To multiply a polynomial by a monomial, use the distributive property. Let's start by talking about ordinary numbers. Say th

Arithmetic sequence, find a30 given that the first few terms of an arithmet...

find a30 given that the first few terms of an arithmetic sequence are given by 6,12,18...

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd