Prove that 7cot - 3cosec = 3, Mathematics

Assignment Help:

If 7 cosec?-3cot? = 7, prove that 7cot? - 3cosec? = 3.

Ans:    7 Cosec?-2Cot?=7

P.T 7Cot? - 3 Cosec?=3

7 Cosec?-3Cot?=7

⇒7Cosec?-7=3Cot?

⇒7(Cosec?-1)=3Cot?

⇒7(Cosec?-1) (Cosec?+1)=3Cot?(Cosec?+1)

⇒7(Cosec2?-1)=3Cot?(Cosec?+1)

⇒7Cot2?=3 Cot? (Cosec?+1)

⇒7Cot?= 3(Cosec?+1)

7Cot?-3 Cosec?=3

 


Related Discussions:- Prove that 7cot - 3cosec = 3

Invertible Matrices - Logical equivalence, 10 statements must be shown to b...

10 statements must be shown to be logically equivalent to the Statement the nxn matrix is invertible.

#title.automotive cruise control system., What are some of the interestingm...

What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems

Explain venn diagrams, Q. Explain Venn diagrams? Ans. Venn diagram...

Q. Explain Venn diagrams? Ans. Venn diagrams, named after the Englishman John Venn, are "area" or "region" diagrams that can be used to help visualize and organize differe

Conscious consumer, a group of 3o students is planning a thanksgiving party...

a group of 3o students is planning a thanksgiving party items needed hats @ $2.50 each.noise makers@$4.00 per pack of 5.Ballons @$5.00 per pack of 10.how many packs of noisemakers

find an explicit formula, (a) The generating function G(z) for a sequence ...

(a) The generating function G(z) for a sequence g n is given by G(z) = 1 - 2z/(1 + 3z)3 Give an explicit formula for g n . (b) For the sequence gn in the previous part co

Net Present Value, A business has the opportunity to expand by purchasing ...

A business has the opportunity to expand by purchasing a machine at a cost of £80,000. The machine has an estimated life of 5 years and is projected to generate a cashflow of £20,0

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