Grade 10Algebra
If the equation a*sin x -2*sin3 x=2*a -8 has solution, then show that 2≤a≤6
If the equation a*sin x -2*sin3 x=2*a -8 has solution, then show that 2≤a≤6
1 Answer
Vikas TU
The Range of sinx is [-1,1]
.i.e
-1
-1 3x
Check conditions on boundary,
for minimum of sinx
the eqn. becomes,
when sin x= -1
=> -a + 2 = 2a – 8
=> 10 = 3a
a = 10/3 = 3.33 (approx)
when sinx = 1
eqn. becomes,
a -2 = 2a – 8
a = -2 + 8
a = 6
therfore range of a is,
3.33
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago