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Apr 15, 2015 · How do you use the sum and difference identities to find the exact value of tan 105 degrees? How do you apply the sum and difference formula to solve trigonometric equations? How do you evaluate #sin(45)cos(15)+cos(45)sin(15)#?
Apr 11, 2016 · Since sin(π 12) is positive, then only the positive answer is accepted. sin(π 12) = √2 −√3 2. Check by calculator. Calculator --> sin(π 12) = sin15∘ = 0.26. √2 −√3 2 = √0.27 2 = 0.52 2 = 0.26. OK. Answer link. 1/4 (sqrt6 - sqrt2) >We want to find replacement angles for pi/12" that will produce exact values " These must come ...
Jan 11, 2018 · Answer link. sin (pi/6) = 1/2 Start with an equilateral triangle of side 2. The interior angle at each vertex must be pi/3 since 6 such angles make up a complete 2pi circle. Then bisect the triangle through a vertex and the middle of the opposite side, dividing it into two right angled triangles. These will have sides of length 2, 1 and sqrt (2 ...
Jul 27, 2016 · What is the value of #sin -45^@#? How do you find the trigonometric functions of values that are greater than #360^@#? How do you use the reference angles to find #sin210cos330-tan 135#?
Jul 2, 2016 · As θ = π 5. sin(π 5) = √10− 2√5 4. Answer link. sin (pi/5)=sqrt (10-2sqrt5)/4 Let theta=pi/5, then 5theta=pi and 3theta=pi-2theta. Note theta) is an acute angle. Hence sin3theta=sin (pi-2theta) but as sin (pi-A)=sinA This can be written as sin3theta=sin2theta expanding them or 3sintheta-4sin^3theta=2sinthetacostheta as theta=pi/5 we ...
Jul 13, 2016 · Now we need to put them together: sin2(π/2) − cos(π) = 1 −(−1) = 2. Answer link. sin^2 (pi//2)-cos (pi) = 1 - (-1) = 2 To solve this, we need to know the values of the sin and cos functions at specific angles. One of the simplest ways to look at this is using the unit circle. If we plot a point on the circle that makes the angle theta ...
Apr 17, 2015 · What is the value of #sin(pi/4)#? Trigonometry Graphing Trigonometric Functions Applications of Radian ...
Nov 1, 2017 · As #pi/24=180^@/24=(7 1/2)^@#, let us first work out #cos(pi/12)# or #cos15^@#. #cos15^@=cos(45^@-30^@)# = #cos45^@cos30^@+sin45^@sin30^@#
May 13, 2016 · 1/2 Consider a right triangle ABC with angle A = pi/6 = 30^@, Angle B = 60^@, angle C = 90^@. Call hypotenuse AB = a --> side BC = a/2 sin (pi/6) = (a/2)/a = 1/2
Answer: Step-by-step explanation: nπ/2 will be equal to 2kπ + π/2. Thus, sin (nπ/2) will be equal to 1. If n is of the form 4k+3, nπ/2 will be equal to 2kπ + 3π/2.
