If m= sin6x + cos6x, then m belongs to the interval

(a) [7/8, 5/4]  (b) [1/2 , 5/8]  (c) [1/4,  1]

Explain pls...

2 years ago


Answers : (1)



as a3+b3=(a+b)(a2-ab+b2)

we know that,





we know 0<=sin2A<=1,

so -1<=-sin22x<=0 multiply with -1,

-3/4<=-3/4(sin22x)<=0 multiply with 3/4,

1/4<=1-3/4(sin22x)<=1 add 1,


therefore "m" belongs to[1,1/4].

2 years ago

Post Your Answer

More Questions On Trigonometry

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
If sinx+siny=root3(cosy-cosx) Prove that sin3x+sin3y=0.
Hello students, please check the solution of your question given below: sinx+siny = root3 ( cosx-cosy) 2sin(x+y/2)cos(x-y/2) = root3 {2sin(x+y/2)sin(y-x/2)} sin(x+y/2)[cos(x-y/2)-root3....
Sunil Raikwar 2 months ago
Dear student, According to the given relation, we would have: If we multiply both sides by a factor of 4, we get: This on simplifying gives us: If the right hand side can be simplified to...
Sumit Majumdar 2 months ago
solve those questions.
Hii For a) and f) Use Sin A + Sin B = 2 sin((A+B)/2)cos((A-B)/2) For b) and c) Use CosA + Cos B = 2 cos((A+B)/2)cos((A-B)/2) for d) Use Sin A - Sin B = 2sin((A-B)/2)cos((A+B)/2) for e) Use...
Sourabh Singh one month ago
sinA/2. sin7A/2 + sin 3A/2. sin11A/2 =
use 2sinAsinB = cos(A_B)-cos(A+B)
Sujay 2 months ago
∫cos(2 cot-1​​{ root(1-x/1+x)} = ????
Ans: Hello Student, Please find answer to your question below
Jitender Singh one month ago
how to find angle made by vector with x-axis
Say the vector is A. Take dot product with i cap. A.i = |A| . 1 . cos B You know how to calculate A.i. Hence, cos B = A.i/|A| B is the angle with x axis Thanks Bharat Bajaj IIT Delhi...
bharat bajaj 6 months ago
evaluate ∫ 2 cos^2 x- cos 2x / cos^2 x dx
Ans: Hello Student, Please find answer to your question below
Jitender Singh 2 months ago
View all Questions »