Solve the equation in the interval (0, 27). (a) cos 0 – sin 0 = /2 sin (b) tan - + 2 sin(2x) = csc x 2

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A: Given :   The sine and cosine rules

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A: answer is in next step

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A: Solving

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A: The given function is:fx=x-42x-8

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A:

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A: Your questions may be possible that  tan-1[√3/3]= 30 degree

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A: A is correct Congurence doesn't imply equality

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

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A: a) tan(315) b) sec(5 pi/6).

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

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A:

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A: Given query is to find trigonometric functions.

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Q: YUEZON CI 1972 m (3x + 8)° (5x- 12)

A: Given angles are co interior angles and their sum is 180°(3x+8)+(5x-12)=180°

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A: Solve the following

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A: topic - geometric series

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A: Principal of Mathematical induction : Consider the statement P(n). step 1: For n=1 , P(1) is true.…

Q: What ordered pair is a solution to the following system of equations? x + y = 12 %3D xy = 35 %3D

A: Follow the procedure given below.

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A: Here, from the given data:

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A: The given series,    ∑n=1284000.91n

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A: This question is based on Area of trapezoid formula.