Sin 40. For memorising cos 0° cos 30° cos 45° cos 60° and cos 90° Cos is the opposite of sin We should learn it like cos 0° = sin 90° = 1 cos 30° = sin 60° = √3/2 cos 45° = sin 45° = 1/√2 cos 60° = sin 30° = 1/2 cos 90° = sin 0° = 0 So for cos it will be like.
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Prove the following sin 20° sin 40° sin 60° sin 80° = 316 Maharashtra State Board HSC Arts 11th Textbook Solutions 7817 Important Solutions 3 Question Bank Solutions 5237 Concept Notes & Videos 352 Syllabus Advertisement Remove all ads Prove the following sin 20° sin 40° sin 60° sin 80° = 316 Mathematics and Statistics Advertisement Remove all ads.
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For sin 40 degrees the angle 40° lies between 0° and 90° (First Quadrant ) Since sine function is positive in the first quadrant thus sin 40° value = 06427876 Since the sine function is a periodic function we can represent sin 40° as sin 40 degrees = sin (40° + n × 360°) n ∈ Z ⇒ sin 40° = sin 400° = sin 760° and so on.
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Hence the value of sin 20° sin 40° sin 60° sin 80° is 3/16 Stay tuned to BYJU’S – The Learning App and download the app to learn more formulas FORMULAS Related Links Formula To Find Median Plane Geometry Formulas Formula Equation Basic Physics Formulas Pdf How To Convert Fahrenheit To Celsius Formula Amplitude Formula What Is The Formula For Power.
Prove that sin(20°)cos(40°)+cos(20°)sin(40°)=√3/2 ? …
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4 Show that sin 20 sin 40 sin 60 sin 80 = 3 upon 16 YouTube
Answer Sin 400° = Sin 40° Stepbystep explanation We have to find the value of the trigonometric function Sin 400° Here Sin 400° = Sin (360° + 40°) The picture shown below shows that in 1st quadrant All trigonometric functions ( Sin Cos Tan Cosec Sec Cot ) are positive And Sin (360° + Ф°) = Sin ( Ф°).