Perform the indicated operation (Hint use DeMoivre's Theorem): 14 [ cos (195*) + i sin (195°) ]* 15 [ cos (226 ) + i sin (226*)] Give your answer in polar form: [cos F) +i sin ) ]

Q: Use a right triangle to prove the Pythagorean identity: sin²x + cos²x = 1

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Q: 5) Given cose = 1/2, determine cos $2 a) H H

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Derive the formula cos(a)=cos(b)cos(c)+sin(b)sin(c)cos(A) for an arbitrary spherical triangle with…

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Q: The quotient of z1 =6 cis (2/3); z2 =2 cis (1/6) in trigonometric form is;

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Q: Use the factor formula to prove that sin 5° + cos 35° = sin 65°.

A: Explanation of the answer is as follows

Q: Using trignometrie formula Solve sin e + 2 cose =| for angles between o and 360°

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Q: Find the quotient and write it in rectangular form using exact values. 10( cos 100° + i sin 100°) 5…

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Q: Write the following numbers in the polar form r(cos 0 + i sin 6), 0 < 0 < 2n. (a) 3 r = .0 = (b) 8i…

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Q: 3) z = sin(ej³) + sinh(5230°)

A: We have evaluate the given complex number z=sinej3+sinh5∠30°

Q: Evaluate cos |a+ 3 if sin a = 3 and a is in quadrant II.

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Q: Perform the indicated operation: 10 [ cos (18°) + i sin (18°) ] / 11 [ cos (63°) + i sin (63°) ]…

A: given complex numbers, Z1= 10 [cos(18) + isin(18)] Z2 = 11 [cos(63) + isin(63)] here we need to…

Q: 6) Perform the indicated operations. Leave the resul in polar form. [50(cos 236° + j sin…

A: Given, 50cos236°+jsin236°2cos84°+jsin84°125cos47°+jsin47°