Home
Class 11
MATHS
Prove (i)"sin"^(2)(pi)/(8)+"sin"^(2)(3pi...

Prove (i)`"sin"^(2)(pi)/(8)+"sin"^(2)(3pi)/(8)+"sin"^(2)(5pi)/(8)+"sin"^(2)(7pi)/(8)=2`
(ii)`[1+cotalpha-sec((pi)/(2)+alpha)]`
`[1+cotalpha+sec((pi)/(2)+alpha)]=2cotalpha`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3( e) Short Answer type Question|7 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3( e)Long Answer type Question-I|13 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Exercise 3(d) Short Answer type Question|9 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

Similar Questions

Explore conceptually related problems

sin^(2)(pi)/(4)+sin^(2)(3 pi)/(4)+sin^(2)(5 pi)/(4)+sin^(2)(7 pi)/(4)=2

(cos^(2)pi)/(8)+(sin^(2)(3 pi))/(8)+(sin^(2)(5 pi))/(8_(sin)^(2))(7 pi)/(8)=2

Prove that: sin^(2)pi/8+sin^(2)(3pi)/(8)+sin^(2)(5pi)/8+sin^(2)(7pi)/8=2

Prove that: (sin^(2)pi)/(18)+(sin^(2)pi)/(9)+(sin^(2)(7 pi))/(18)+(sin^(2)(4 pi))/(9)=2

4.Prove that sin^(2)((pi)/(8))+sin^(2)((3 pi)/(8))=1

Prove that: sin^(4)((pi)/(8))+sin^(4)((3 pi)/(8))+sin^(4)((5 pi)/(8))+sin^(4)((7 pi)/(8))=(3)/(2)

Prove that: cos^(2)pi/8 + cos^(2)(3pi)/(8) + cos^(2)(5pi)/(8)+ cos^(2)(7pi)/(8)=2

2sin((pi)/8)sin((2pi)/8)sin((3pi)/8)sin((5pi)/8)sin((6pi)/8)sin((7pi)/8) = ?

Prove that "sin"(pi)/(14)"sin"(3pi)/(14)"sin"(5pi)/(14)"sin"(7pi)/(14)=(1)/(8)