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

Cylindrical coordinates - three dimensional space, Cylindrical Coordinates ...

Cylindrical Coordinates - Three Dimensional Space Since with two dimensional space the standard (x, y, z) coordinate system is known as the Cartesian coordinate system.  In the

How many days are there in a year, There are m months in a year, w weeks wi...

There are m months in a year, w weeks within a month and d days in a week. How many days are there in a year? In this problem, multiply d and w to obtain the total days in one

Indefinite integrals, Indefinite Integrals : In the past two chapters we'v...

Indefinite Integrals : In the past two chapters we've been given a function, f ( x ) , and asking what the derivative of this function was.  Beginning with this section we are now

Progressions, what value of k is he sequence 2k+4,3k-7,k+12 are in an arith...

what value of k is he sequence 2k+4,3k-7,k+12 are in an arithmetic sequence is

Probability, There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs ...

There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs are choosen at random then what is the probability of there are just 3defective bulbs

Find the total volume of the hay stack, The lower portion of a hay stack is...

The lower portion of a hay stack is an inverted cone frustum and the upper part is a cone find the total volume of the hay stack.

Explain the algebraic expressions and equations, Explain the Algebraic Expr...

Explain the Algebraic Expressions and Equations? Writing a math problem algebraically means that you are using numbers and variables to represent relationships. "Three inche

What is the approximate cost of 1 binder and 1 pen, At the school bookstore...

At the school bookstore and two binders and three pens cost $12.50. Three binders and five pens cost $19.50. What is the approximate cost of 1 binder and 1 pen? Let x = the cos

Real exponents, It is a fairly short section.  It's real purpose is to ackn...

It is a fairly short section.  It's real purpose is to acknowledge that the exponent properties work for any exponent.  We've already used them on integer and rational exponents al

Describe the properties of inequalities, Describe the Properties of Inequal...

Describe the Properties of Inequalities ? Postulate In comparing two quantities, say a and b, there are exactly three possibilities. (1) a is less than b. (a b)

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