Home
Class 12
MATHS
Prove that sin15^@ = (sqrt3-1)/(2sqrt2)...

Prove that `sin15^@ = (sqrt3-1)/(2sqrt2)`

Text Solution

Verified by Experts

`sin15^@=sin(45^@-30^@)=sin45^@cos30^@-cos45^@sin30^@=1/(sqrt2).sqrt3/2-1/sqrt2.(1)/2=(sqrt3-1)/(2sqrt2)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|523 Videos

  • VECTORS

    MBD PUBLICATION|Exercise QUESTION BANK|138 Videos

Similar Questions

Explore conceptually related problems

Prove that sin^(-1)(frac[sqrt(1+x)+sqrt(1-x)][2])=frac[pi][4]+frac[1][2]cos^(-1)x,0ltxlt1

Prove that "tan"^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))=pi/(4)+1/(2)"cos"^(-1)x^(2) .

Prove that 1/2cos^-1x=sin^-1sqrt((1-x)/2)=cos^-1sqrt((1+x)/2) .

Prove that cos tan^(-1)sin cot^(-1)x=sqrt((1+x^2)/(2+x^2) .

Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1) sqrt((p-x)/(p-q))="cot"^(-1) sqrt((p-x)/(x-q))

Prove that int(dx)/(2+sinx)=2/sqrt(3)tan^-1((2tanx//2+1)/sqrt3)+c.

Prove that cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/(2), 0 lt x lt (pi)/(2), or x in (0, (pi)/(4)) .

Prove that tan"A/2=sqrt((1-cosA)/(1+cosA)

int_(2/sqrt3)^2(dx)/(x(sqrtx^2-1)