14. Prove the trigonometric identity: (4) 2) (sin x + cos x)() come an d sin...
Prove the trigonometric identity: sin(x + y) sin(x - y) = sin’x – sin? y. Which identity is used to prove it true? sin(x + y) = sin x cos y - cos x sin y All of these. tan o sin e cos e cos? 0 = 1 - sin? 0
5. Prove the following identity. (sin x + cos x) = 1+sin 2x 6. If cos(x) = , and x E QIV , find the exact value of each of the following. a.sin (2x) b.cos cos()
Prove the trigonometric identity: sin(x + y) sin(x - y) = sin’ x – sin? y. Which identity is used to prove it true?
Prove the trigonometric identity: sin(x + y) sin(x - y) = sin² x – sin? y. Which identity is used to prove it true?
Is the following equation an identity? If so, prove it. sin- x - cos x cos x = sin’x - cos x The given equation is an identity. sinx - cos*x = (sin’x)2 – (cos?x)2 = (sinºx – cos x) (sinºx + cos²x) = (sin x – cos2x) (1) = sinºx - cos x. The given equation is not an identity. The given equation is an identity. sin- x - cos*x = (sin?x)2 – (cos2x)2 (sinºx – cos x) (sinºx...
Verify the identity 1 - sin 2x cos 2x cOS X - sin X COS X + sin x Choose the sequence of steps below that verifies the identity OB. OC. 1-sin 2x cOS 2x 1-2 sinxcosx OA 1 - sin 2x cos 2x 1 - sin X COS X cos2x - sin 2x (cos2x+ sin 2x) - 2 sin x cos x cos2x - sin 2x (COS X - sin x)(COS X - sin x) (COS X + sin...
210 HAND-IN HOMEWORK WI 3. Prove the trigonometric identity: 1 + sinx + cos. + CSX - sinx (Keep in mind that you can't merely mutliply both sides by 1 + com would be assuming the truth of the identity to prove it) secx + tanx ely mutliply both sides by 1 + cos x - sinx, since then you e identity to prove it)
8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ<0 (b) (5pt) Find cos θ , if sin θ 8. (a) (5pt) Prove the identity: cscx -cos x=sec x . sin'x 4 and tan θ
Prove the identity. 2 sin le coso + cos 40 = 1 - sin e
Prove the identity. 4 cos 40 - 4 sin 40 = 4 cos 20 To verify the identity, start with the left side and transform it to obtain the right side. Choose the correct stop and transform the expression according to the step chosen 4 cose-4 sine = 4 cos 20