Find the exact value of sin pi/4
WebJan 21, 2024 · sin θ = Perpendicular Hypotenuse So comparing with values, Perpendicular = 12 and Hypotenuse = 13 Using phythagorous you got base as 5. cos θ = Base Hypotenuse cos θ = 5 13 As cos θ positive as in IV quadrant. cot θ = Base Perpendicular cot θ = − 5 12 As cot θ negative as in IV quadrant. Share Cite Follow answered Jan 21, 2024 … WebMath Trigonometry Trigonometry questions and answers Given that sin (a)= 3/4 and cos (b)= -1/5 , with a and b both in the interval [pi/2, pi), find the exact values of sin (a+b) and cos (a-b). This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer
Find the exact value of sin pi/4
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WebThe angles that they're picking are ones that can be made by adding angles that are easy to remember, namely pi/6, pi/4, pi/3, and pi/2 (30, 45, 60, and 90, respectively) and their multiples. You can use angle addition to quickly find the trig values of, say, 75 degrees, since it's easy to see that 45+30=75. Websin (pi/2 - pi/4) = sin pi/4 Cos pi/4 Using Unit Circle To find the value of cos π/4 using the unit circle: Rotate ‘r’ anticlockwise to form pi/4 angle with the positive x-axis. The cos of pi/4 equals the x-coordinate (0.7071) of the point of intersection (0.7071, 0.7071) of unit circle and r. Hence the value of cos pi/4 = x = 0.7071 (approx)
WebJun 9, 2024 · sin( π 4) = √2 2 cos( π 4) = √2 2 tan( π 4) = 1 csc( π 4) = √2 sec( π 4) = √2 cot( π 4) = 1 Explanation: π 4 radians is the same as 90 degrees. So, first draw a right triangle with an angle of π 4: This creates … WebFind the exact value of sin(-13pi/12)Time Stamps0:00 Intro0:10 How to tell if the value can be found on a unit circle0:57 Find a sum that works with the unit...
WebSal finds the value of sin(7π/12) by rewriting it as sin(π/3+π/4) and then using the sine angle addition formula. ... I plugged both answers into the calculator, both gave the exact … WebApr 11, 2016 · Extract exact values from triangles sin( π 3) = √3 2,sin( π 4) = 1 √2 and cos( π 3) = 1 2,cos( π 4) = 1 √2 now substitute into the right side of the expansion. = √3 2 × 1 √2 − 1 2 × 1 √2 = √3 2√2 − 1 2√2 = √3 − 1 2√2 and rationalising the denominator gives (√3 − 1) × √2 2√2 ×√2 = √6 −√2 4 Answer link Nghi N. Apr 11, 2016 √2 −√3 2 Explanation:
WebAug 22, 2024 · Explanation: As π < u < 3π 2, u is in Q3 and cosu < 0. As sinu = − 4 5, cosu = −√1 − ( − 4 5)2 = − 3 5 Hence, sin2u = 2sinucosu = 2 ×( − 4 5) ×( − 3 5) = 24 25 cos2u = cos2u −sin2u = 9 25 − 16 25 = − 7 25 and tan2u = sin2u cos2u = …
WebSep 18, 2024 · Find the exact value of $\cos^ {-1} (\sin \frac {4\pi} {3})$ without using calculator The solution is $\cos^ {-1} (\sin \frac {4\pi} {3}) = \cos^ {-1} (\frac {-\sqrt {3}} {2}) = \pi -\cos^ {-1} (\frac {\sqrt {3}} {2}) $ I completely do not understand how to solve these without the calculator. jcrew pants on saleWebJul 12, 2011 · Find pi/4 on the unit circle, it's root 2 / 2, that doesn't seem to get the right answer even though that's was supposed to be the method? Answers and Replies Jul 11, 2011 #2 QuarkCharmer 1,052 2 is the same as , simply "rationalize" it by multiplying the top and bottom by Basically you have the right idea, you can think of sin as the y-coordinate. jcrew perfect rain jacket pinkWebIf sin theta = 4/9, 0 < theta < pi/2, find the exact value of each of the following sin (2 tgheta) cos (2 theta) sin - theta/2 cos theta/2 sin (2 theta)= (Type an exact answer, using radicals needed) cos (2 theta) = (Type an … lutherrose wappenWebA basic trigonometric equation has the form sin (x)=a, cos (x)=a, tan (x)=a, cot (x)=a How to convert radians to degrees? The formula to convert radians to degrees: degrees = … jcrew paperclip necklaceWebJul 23, 2024 · How do I find the exact value of sine 600? Donagan Top Answerer 600° = 60° when considering trig functions. [600 - (3) (180) = 60] Sine 600° = sine 60° = 0.866. … jcrew patio 6WebExample 2: Find the value of 6 cosec (pi/4)/8 sec (pi/4). Solution: Using trigonometric identities, we know, cosec (pi/4) = sec (pi/2 - pi/4) = sec pi/4. ⇒ csc (pi/4) = sec (pi/4) ⇒ Value of 6 cosec (pi/4)/8 sec (pi/4) = 3/4 Example 3: Find the value of csc pi/4 if sin pi/4 is 0.7071. Solution: Since, csc pi/4 = 1/sin (pi/4) jcrew oversized v neck sweaterWebUsing a Calculator to Evaluate Inverse Trigonometric Functions. To evaluate inverse trigonometric functions that do not involve the special angles discussed previously, we will need to use a calculator or other type of technology. Most scientific calculators and calculator-emulating applications have specific keys or buttons for the inverse sine, … jcrew peony sandals