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sinA(1+tanA)+cosA(1+cot)=sinA.cosecA+cosA.secA1+1=2

CosA-sinA+1/cosA+sinA-1=(cosA-sinA+1)(cosA+sinA+1)/(cosA+sinA-1)(cosA+sinA+1)=(cos²A-cosAsinA+cosA+cosAsinA-sin²A+sinA+cosA-sinA+1)/{(cosA+sinA)²-(1)²}=(cos²A-sin²A+2cosA+1)/(cos²A+2cosAsinA+sin²A-1)={cos²A+2cosA+(1-sin²A)}/(1+2cosAsinA-1) [∵, sin²A+cos²A=1]=(cos²A+2cosA+cos²A)/2cosAsinA=(2cos²A+2cosA)/2cosAsinA=2cosA(cosA+1)/2cosAsinA=(cosA+1)/sinA=cosA/sinA+1/sinA=cotA+cosecA=cosecA+cotA (Proved)

3/5= 0.62/3= 0.66no between 3/5 & 2/3 are= 0.62, 0.63, 0.64,0.65,0.658 etc

3/5=0.62/3=0=66 no between 3/5and 2/3

2.75 * 14= 38.5total mass of 14 bricks is 38kg 500g

1 block=2.75kg14 block=2.75×14=38.5

14* 2.750= 38.500= 38kg 500 g

No. Of guest = 65No. Of halls = 3Its not possible to divide 65 guest equally in 3 halls2 halls have 22 guests in each hall and third hall accommodate 21 guests

differentiation of x³is 3x²

differentiation of x^n is nx^(n-1)

Given:ABC is a Triangle in which the midpoints of sides BC ,CA and AB are D, E and F.

To show:(i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4ar (ABC)(iii) ar (BDEF) =1/2 ar (ABC)

Proof: i)Since E and F are the midpoints of AC and AB.

BC||FE & FE= ½ BC= BD

(By mid point theorem)

BD || FE & BD= FE

Similarly, BF||DE & BF= DE

Hence, BDEF is a parallelogram

.[A pair of opposite sides are equal and parallel]

(ii)Similarly, we can prove that FDCE & AFDE are also parallelograms.

Now, BDEF is a parallelogram so its diagonal FD divides its into two Triangles of equal areas.

∴ ar(ΔBDF) = ar(ΔDEF) — (i)

In Parallelogram AFDE

ar(ΔAFE) = ar(ΔDEF) (EF is a diagonal) — (ii)

In Parallelogram FDCE

ar(ΔCDE) = ar(ΔDEF) (DE is a diagonal) — (iii)

From (i), (ii) and (iii)

ar(ΔBDF) = ar(ΔAFE) = ar(ΔCDE) = ar(ΔDEF).....(iv)

ar(ΔBDF) + ar(ΔAFE) + ar(ΔCDE) + ar(ΔDEF) = ar(ΔABC)

4ar(ΔDEF) = ar(ΔABC)(From eq iv)

ar(∆DEF) = 1/4 ar(∆ABC)........(v)

(iii)Area (parallelogram BDEF) = ar(ΔDEF) + ar(ΔBDF)ar(parallelogram BDEF) = ar(ΔDEF) + ar(ΔDEF)

ar(parallelogram BDEF) = 2×ar(ΔDEF)(From eq iv)

ar(parallelogram BDEF) = 2× 1/4

ar(ΔABC)(From eq v)

ar(parallelogram BDEF) = 1/2 ar(ΔABC

thanks

(1-tan²A)/(1 + tan²A)=2cos²A -1

3cotA = 4 cotA = 4/3 tanA = 1/cotA = 3/4

LHS = (1-tan²A)/(1+ tan²A) = (1 - 9/16)/(1+ 9/16)= 7/25

RHS =2cos²A -1∵tanA = 3/4 ∴cosA = 4/5

= 2(4/5)² -1 = 32/25 -1 =7/25

LHS = RHS so, (1-tan²A)/(1 + tan²A)=2cos²A-1

as cos^2A-sin^2A=2cos^2A-1

(1-tan²A)/(1 + tan²A)=2cos²A -1as sin^2a-cos^2a=2cos^2a-1=cos2a3cotA = 4 cotA = 4/3 tanA = 1/cotA = 3/4

LHS = (1-tan²A)/(1+ tan²A) = (1 - 9/16)/(1+ 9/16)= 7/25

RHS =2cos²A -1∵tanA = 3/4 ∴cosA = 4/5

= 2(4/5)² -1 = 32/25 -1 =7/25

LHS = RHS so, (1-tan²A)/(1 + tan²A)=2cos²A-1

Test it is OK let's see

5/12 is the correct answer of the given question

the answer is 10/24.

10/24 how is it correct =28-18/24 =10/24

let the smaller be x so larger is x + 18 sum of supplementary angles is 180°x + x + 18 = 180°2x = 180° - 18°2x = 162°x = 162°/2x = 81°So, the angles are 81° and 81° + 18° = 99°

how to come 99

As cos 58°= cos(90-58)= cos32sin22°= cos(90-68)same cot38= cosec 52now

1+1-(1/√3*√3)2-1/35/3

In computing,CLS(for clear screen) is a command used by the command line interpreters COMMAND.COM andCMD.EXEon DOS, FlexOS, OS/2, Microsoft Windows and ReactOS operating systems to clear the screen or console window of commands and any output generated by them.

S.P.=600loss=100so C.P.=700so loss percentage=100/700*100=14.28%

Let CP of the article = xat 5% gain, SP of article = x + (5/100)x = 1.05xat 5% loss, SP of article = x - (5/100)x = 0.95x

given that 1.05x - 0.95x = 16.5⇒ 0.1x = 16.5⇒ x = 16.5/0.1⇒ x = Rs. 165.

The cost price of the article is Rs. 165.

when we divide 324 by 5 Then solution is 64.8

Increase in price = 8%

Find the new selling price:Selling Price = 100 + 8 = 108%Selling Pirce = Rs 1566

Find the original price:108% = 15661% = 1566 ÷108 = Rs 14.50100% = 14.50 x 100 = Rs 1450

Answer: The original price is Rs 1450

Ans :- The lungs are the center of the respiratory (breathing) system. Every cell of the body needs oxygen to stay alive and healthy. Your body also needs to get rid of carbon dioxide. Your lungs are specially designed to exchange these gases every time you breathe in and out.

s = 75×75×75s = 421875

75×75×75so the answer is 421875

421875 the correct answer of the given question