+91-87964 74404
FlagBACK
Question icon
Grade 11Trigonometry

sin4 pi /8+ sin4 3pi /8+ sin4 5pi /8 +sin4 7pi/ 8=3/2

Profile image of Mansi Keshari
9 Years agoGrade 11
Answers icon

1 Answer

Profile image of Divyanshu Rawat
9 Years ago
sin4π/8 + [sin(π-π/8)]4 + sin43π/8 + [sin(π-3π/8)]4
2[ sin4π/8 + sin43π/8 ]
 
Now we know that:
sin π/8 = [√(√2 -1)/2]  
and 
sin 3π/8 =[√(2+√2)]/2
So now replace values and enjoy the answer.
 
Hope it helps 
Thankyou

Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 3 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥 
trigonometry
1 Answer Available

Last Activity: 4 Years ago