−22−3 Explanation: Use trig identity: 2cos2a=1+cos2a 2cos2(105)=1+cos(210) ... Trig: Using the proper identity to calculate cos165∘ https://math.stackexchange.com/questions/2252789/trig-using-the-proper-identity-to-calculate-cos-165-circ Yes can. One of the simplest ways is...
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Verify the trigonometric identity: {sin^2 x} / {1 - cos x} = 1 + cos x. Verify the trigonometric identity: 1 / {csc^2 x} + 1 / {sec^2 x} = 1. Verify the trigonometric identity: tan x (csc x - sin x) = cos x. Verify the trigonometric identit...
Proving a cos(2nx) identity using induction https://math.stackexchange.com/q/1766726 What's the flaw in this derivative logic? https://math.stackexchange.com/q/2456264 Since θ=2x, we get that dθ=2dx. Hence you have to use the chain rule for differentiation. So the calculations become...
The integral seems tedious at first, but the proper usage of trigonometric identities can make the integral simpler and easier to integrate. Answer and Explanation: We will apply the trigonometric identity cos2(u)=1+cos(2u)2 Since u=2x, {eq}\displaystyle...Become...
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To do this, we can use trig definitions (such as tanx=sinxcosx) and known trig identities (such as cos2x+sin2x=1). Answer and Explanation: First, let's rewrite tanx in terms of sinx and cosx. {eq}8\cos x+8\sin x\tan...
Rewrite using trig identities:cos(π)cos(2π)−sin(π)sin(2π) cos(23π) Write cos(23π)as cos(π+2π)=cos(π+2π) Use the Angle Sum identity: cos(s+t)=cos(s)cos(t)−sin(s)sin(t)=cos(π)cos(2π)−sin(π)sin(2π) =cos(π)cos(2π)−sin(π)sin(2π) Use...
Apply the sinedouble-angleidentity.( (sin)(2⋅ 150))Multiply( 2) by ( 150).( (sin)(300))Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant.( -(sin)(60))T...
Rewrite using trig identities:sin(90∘) sin(75∘)cos(15∘)+cos(75∘)sin(15∘) Use the Angle Sum identity:sin(s)cos(t)+cos(s)sin(t)=sin(s+t)=sin(75∘+15∘) Simplify=sin(90∘) =sin(90∘) Use the following trivial identity:sin(90∘)=1 ...