sin 15 - Prove value of sin15 Mathematics Stack Exchange

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sin 15 - Prove value of sin15 Mathematics Stack sinopsis novel Exchange Show that sin45sin15sin75 Mathematics Stack Feb 21 2023 Here is another way that gives sin 15 and sin 75 pretty quickly Assuming we know how to use geometry to get sincos 3045 Assuming we know how to use geometry to get sincos 3045 We define isosceles ABC with vertex A of 30 degrees trigonometry Prove sin 45 sin 15 sin 75 How do you find the exact values of sin 15 degrees using the Sep 28 2015 Find sin 15 Ans sqrt2 sqrt32 Use the trig identity cos 2a 1 2sin2 a cos 30 sqrt32 1 2sin2 15 2sin2 15 1 sqrt32 2 sqrt32 sin2 15 2 sqrt34 sin 15 sqrt2 sqrt32 Since arc 15 deg is in Quadrant I its sin is positive Then sin 15 sqrt2 sqrt32 Check by calculator sin 15 026 sqrt2 sqrt32 0522 026 OK I rewrote the statement as sin30 15 sin15 cos15 Then I got sqrt32 sin15 cos15 Mar 20 2018 sin 45 cos 15 cos 45 sin 15 sin 45 15 sin 60 sqrt 32 sin 45 cos 15 cos 45 sin 15 It is in the form sin a cos b cos a sin b But we know sin a b Jul 21 2015 Find exact value of sin15 with halfangle formula Consider the halfangle formula for sine sintheta2sqrt1cosx2 Since we know that 15 is kuda laut 88 half of 30 we can plug 30 in as theta and simplify How do you use the half angle identity to find exact value of sin algebra precalculus Derivation of sin15circ How do you find the value of sin15 using the double or Dec 23 2016 sin 15sqrt3 12sqrt2 Use the identity cos 2theta 1 2sin2 thetaand put theta 15 Thus cos 30 12sin2 15 sqrt3 2 12sin2 15 sin2 1512 1sqrt3 2 2sqrt34 42sqrt38 sqrt3 12 8 sin 15sqrt3 12sqrt2 Just compute sin 15circsin 45circ using this expression for sin 15circ and all will hopefully become clear endgroup Micah Commented Dec 6 2014 at 2131 How do you evaluate sin45cos15cos45sin15 Socratic Oct 25 2015 Find exact value of sin 105 Ans sqrt2 sqrt32 sin 105 sin 15 90 cos 15 First find cos 15 Call cos 15 cos x Apply the trig identity cos 2x 2cos2 x 1 cos 2x cos 30 sqrt32 2cos2 x 1 2cos2 x 1 sqrt32 2 sqrt32 cos2 x 2 sqrt34 cos x cos 15 sqrt2 sqrt32 since cos 15 is positive sin 105 cos 15 sqrt2 sqrt32 How do you find the exact value of sin 105 degrees Socratic Mar 11 2019 Stack Exchange Network Stack Exchange network consists of 183 QA communities including Stack Overflow the largest most trusted online community for developers to learn share their knowledge observative4d and build their careers

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