sinA a Use the law of sines in the form (1) sin B b а — Ь tan (45 ) to prove the law of tangents: a + b tan (4E) [Hint: Subtract 1 from both sides of equation (1) and simplify to get a second equation. Then add 1 to both sides of (1) and simplify to get a third equation. Then divide the results.]

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A: There is an All-sin-tan-cos rule of signs.  In first quadrant all are positive.  In second quadrant…

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Q: sin (a – B) - sin (a + B) cos (a- B) - cos (¤+ B)

A: see below the calculation

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Q: Establish each identity.

A: To prove - sinα-βsinαcosβ = 1-cotαtanβ

Q: sin (A - B) = sin A cos B - cos A sin B

A: Explanation: This is a Substraction formula Let the revolving line starts from the intial line OX…

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Q: trigonometric equations a. Sin (x - 30)° = 12 ,0° < x < 360° b. 2 Cos 2x = 2, 0° < x < 2m %3D c. Sin…

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Q: Pls help ASAP. Find the sine equation given the function pls.

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Q: Cosine Law of Cosines SAS Triangle Area Conjecture Sine Law of Sines Tangent Adjacent Hypotenuse…

A: cosine ----- Adjacent HypotenuseLaw of Cosine ----- c2=a2+b2-2abcosCSAS Triangle Area Conjecture…

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Q: sina – sinß (a). sina + sinß a - B tan- cot 2 a +B (b). cos20° + cos 100° + cos 140° = 0

A: Explanation: (a) sinα-sinβsinα+sinβ=tanα-β2cotα+β2   To prove the identity take the Left-Hand side:…

Q: VI. Find the exact value of the expresssion: a) cos(sin=1) b) tan(sin¬'#)

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Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

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Q: 4. The point P lies on the unit circle, making an angle of measure 0 with the positive x-axis. a.…

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A: Given: sin A=1517, with A in quadrant 2ndsin B=-45, with B in quadrant 3rd To Find:…

Q: sina – sinß a - B a +B (a). sina + sinß = tan cot 2 2 (b). cos20º + cos 100° + cos 140° = 0

A: To prove  sinα-sinβsinα+sinβ=tanα-β2cotα+β2 solving left hand side  sinα-sinβsinα+sinβ using the…

Q: a sin arctan b+1 Let a and b are some positive numbers. Find in terms of a and b.

A: Recall: sin(arctan(x))=x1+x2 We have, x=ab+1

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Q: sec2a-1 sec2a-1 is defined? for all values of a for which sin a Which of the following is equivalent…

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Q: sin a cot a -tan a t 2 + 2 sina -sin a seca seca

A: Here we have to use trigonometry ratio for prove the equality

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Q: sin(u) = 1 2 (a) Determine the quadrant in which u/2 lies. Quadrant I Quadrant II O Quadrant II…

A: Given, sinu =941         and    π2&lt;u&lt;π

Q: sine cose 0 Let A = -cose sine 0 then det(A)= 1 Select one: a. sine b. cose С. 1 d. -1

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Q: sine cose 0 Let A =-cos0 sine 0 then det(A)= 0 0 1 Select one: а. 1 b. -1 C. sine d. cose

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Q: The sine curve y = a sin(k(x - b)) has amplitude period ,and horizontal shift The sine curve y= 8…

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A: Simplifying the given expression

Q: sin Ø + cos Ø tan Ø Find the value of cos Ø (A 2 tan Ø B 2 cos Ø C 2 sin Ø D 2 cot Ø

A: Topic = Trigonometry

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A: Herecis the solution

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Q: Verify the identity.

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Q: cose Simplify sece – 1+ sine A sine B none of the given choices tane D sine - cose E cote

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A: sin2 x +cos2 x =1 In first Quadrant all trigonometry ratios are positive.