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

Compute projection scale factor, 1. A survey line on campus is measured to ...

1. A survey line on campus is measured to be 1000.00 ft long on horizontal ground. The elevation of the line is 700.00 feet and the geoid separation from ellipsoid to geoid is -110

Maths for Social Science, A retired couple has up to $30000 to invest in fi...

A retired couple has up to $30000 to invest in fixed-income securities. Their broker recommends investing in two bonds: one a AAA bond yielding 8%; the other a B+ bond paying 12%.

Trigonometric ratios, to difine trigonometric ratios of an angle,is it nece...

to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?

How many square centimeters are in one square meter, How many square centim...

How many square centimeters are in one square meter? There are 100 cm in a meter. A square meter is 100 cm through 100 cm. The area of this is 10,000 sq cm (100 × 100 = 10,000)

Advantages of peer interaction in learning maths, Can you think of some mor...

Can you think of some more advantages of peer interaction and child-to child learning? If you agree that children learn a lot from each other, then how can we maximise such oppo

Piecewise, x=±4, if -2 = y =0 x=±2, if -2 = y = 0

x=±4, if -2 = y =0 x=±2, if -2 = y = 0

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