3. Express M =cos 3A+cos A and N = sin 3A+sin A as a product form. M = cot 2A. N Hence, show that

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Q: Express the number -5 in the form R(cos(0) + i sin(0)) = Reil where R>0 and 0 <0 < 2T.

A: rewrite -5 as -5=-5+0i comparing with z=a+bi a=-5 , b=0 R=a2+b2=-52+02=25+0=25=5 now…

Q: #25

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Q: prove the Cos0=(A.B/AB).

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Q: 8. Show that sin a (1+ tan a) + cos a (1 + cot a) = sec a + csc a.

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Q: p2 cos 20 = 1 COs

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Q: The point (-5,3) lies on the terminal arm. Determine the exact value of cos 0. Show all work.

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Q: Verify the identity. (sec ² 0+1) (- sin² 0+1) = 2-sin ²0 20 rch Which of the following four…

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Q: 1 1. Use basic identities to simplify the expression secx cos x + cos x secx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: 2. Prove the identity 2 cos²x 1-cos²x 2 tan² x

A: We will use the following identities,  and  We are asked to prove,

Q: 1. Evaluate the expression (sine+cose) +(sin8-cose). A. -2 В. -1 С. 1 D. 2 2. Given the condition of…

A: 1. sinθ+cosθ2+sinθ-cosθ22. cscθ=53 , π2&lt;θ&lt;π

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Q: Find sin 8. tan 0 = √2 w|n 3 cos 8>0

A: given  tanθ=-23,  cosθ&gt;0tanθ&lt;0  and  cosθ&gt;0, there for θ is in 4th quadrant

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Q: Sin (% %3D cos(oT) Sin (T+u) = cosu () asi

A: Solution Let for some angle A &amp; B, the  identity Sin(A+B)=sin(A)*cos(B)+sin(B)*cos(A)…

Q: VERIFY THE IDENTITIES

A: To verify

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A: