Question

If tanx=k tany, prove that (k+1)sin(x-y)=(k-1) sin(x+y)

Answer 1

Answer:

Method - 1 : ( Exact process )

Let first number be ' x '

Second number be ' y '

The sum of two numbers is 64

➠ x + y = 64

➠ y = 64 - x ... (1)

Second number is 16 less than the first

➠ y = x - 16

Sub. (1) ,

➠ 64 - x = x - 16

➠ x + x = 64 + 16

➠ 2x = 80

➠ x = 40

Sub. x value in (1) , \;

➠ y = 64 - 40

➠ y = 24

First number , x = 40 ★

Second number , y = 24 ★

Method - 2 :

Let first number be ' x '

second number is 16 less than the first , so

Second number = ' x - 16 '

The sum of two numbers is 64 ,

➽ x + ( x - 16 ) = 64

➽ x + x - 16 = 64

➽ 2x = 64 + 16

➽ 2x = 80

➽ x = 40

First number , x = 40 ★

Second number , (x-16) = 24 ★