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

Area related to circle, If ABCD isaa square of side 6 cm find area of shad...

If ABCD isaa square of side 6 cm find area of shaded region

Quadratic equations, Q UADRATIC EQUATIONS: For  the  things  of this  wor...

Q UADRATIC EQUATIONS: For  the  things  of this  world  cannot  be  made  known without  a  knowledge of mathematics. Solve by factorization a.    4x 2 - 4a 2 x +

Rational expressions, Now we have to look at rational expressions. A ration...

Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials.  Here are some examples of rational e

The shape of a graph, The Shape of a Graph, Part II : In previous we saw h...

The Shape of a Graph, Part II : In previous we saw how we could use the first derivative of a function to obtain some information regarding the graph of a function.  In this secti

Problem solver, a bathroom measure 250 cm by 175 cm calculate the side of t...

a bathroom measure 250 cm by 175 cm calculate the side of the largest square tile that can tile the floor

Find distance between points (b + c, Find the distance between the points (...

Find the distance between the points (b + c, c + a) and (c + a, a + b) . Ans : Use distance formula

Find out arc length - applications of integrals, Find out the length of y =...

Find out the length of y = ln(sec x ) between 0 x π/4. Solution In this example we'll need to use the first ds as the function is in the form y = f (x). So, let us g

If tan2x.tan7x=1 , tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its give...

tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its given 1 - tan2x*tan7x= 0 implies tan9x = infinity since tan9x = (3tan3x - tan^3(3x))/(1 - 3tan^2 (3x)) = infinity implies

Explain what is symmetry in maths, Symmetry Definition : A line of sy...

Symmetry Definition : A line of symmetry divides a set of points into two halves, each being a reflection of the other. Each image point is also a point of the set. Defin

Objectives of addition and subtraction, Objectives After going throu...

Objectives After going through this unit, you should be able to 1. explain the processes involved ih addition and subtraction; 2. plan and execute activities that woul

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