Home
Class 12
MATHS
Prove that: "sin"20^0"sin"40^0"sin"60^0"...

Prove that: `"sin"20^0"sin"40^0"sin"60^0"sin"80^0=3/(16)`

Text Solution

AI Generated Solution

To prove that \( \sin 20^\circ \sin 40^\circ \sin 60^\circ \sin 80^\circ = \frac{3}{16} \), we can follow these steps: ### Step 1: Rewrite the expression We start with the left-hand side (LHS): \[ \sin 20^\circ \sin 40^\circ \sin 60^\circ \sin 80^\circ \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.7|5 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.8|9 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.5|6 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

Prove that: sin20^0sin40^0sin60^0sin80^0=3/(16)

Prove that: sin20^0sin40^0sin60^0sin80^0=3/(16)

Prove that: sin 50^0-sin 70^0+sin 10^0=0

Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

Prove that: sin10^0sin30^0sin50^0sin70^0=1/(16)dot

Prove that: sin20^0sin40^0sin80^0=(sqrt(3))/8

Prove that: i) sin20^(@)sin40^(@)sin60^(@)sin80^(@)=3/16 ii) sin10^(@)sin50^(@)sin60^(@)sin70^(@)=sqrt(3)/16 iii) sin20^(@)sin40^(@)sin80^(@)=sqrt(3)/8

Prove that: sin6^0sin42^0sin 66^0sin 78^0=1/(16)

Prove that: \ sin 10^0sin 50^0sin 60^0sin 70^0=(sqrt(3))/(16)

Home
Profile