Show that the form of the Law of Cosines written 2 = a + b - 2ab cos y reduces to the Pythagorean Theorem when y = 90°. %3!

Q: 4. Apply half-angle formula to find a. cos 15° b. sin 15° C. COS

A: Given: cos15∘, sin15∘, cos5π8 We know that cos2x=cos2x-sin2x…

Q: If cos a = 0.154 and sin B = 0.273 with both angles' terminal rays in Quadrant-I, find the values of…

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Q: If A = 0J, then e = cos 01 + sin 0J = = cos sin 0500). - sin

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Q: If sin A = −√65 /65 with 180 ≤ A ≤ 270, find cosA/2

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Q: Which equation can we use to find the length of the side labeled æ? 5 30° A cos 30° 5 B tan 30° %3D…

A: Given: To find the value x=?Opposite side=5; hypotenuse side=x

Q: For positive acute angles A and B, it is known that cos A= 9/41 and tan B=21/20. Find the value of…

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Q: 4 and cos B = where <A, B<. 13 If sin A = Find the value sin (A +B) RIN

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Q: If sin e + cos e =p and sec e + cosec e = q, show that q (p? -1) - 2 p.

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Q: If sin 0 4 and 0 is in quadrant II, then cos 0

A: sinθ=45cosθ=?

Q: fies the equation sin 47° Co ( %3D

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Q: 1) * a) Complete each equation. sin 0 = cos 0 = た tan 0 = k b) If k = 9.4 and f = 12.7, what is the…

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Q: If e is an acute angle and cos 0 1 find csc

A: cosθ=13 and cscπ2-θ

Q: In right triangle ABC, m/B + mZC . Let sin B = r and cos B = s. B A Which expression represents the…

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Q: 36. If cos(30+y)-- A) B) which would be sin(30-y)? C) pr D)

A: Topic:- trigonometry Note:- as per our guideline if more than one question uploaded than only first…

Q: Solve the next trigonometric equations, please include procedure. 10) sec a + tga = 0 11) 6cos+cos…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

Q: For an acute angle 0 , the equation sin (0) = cos (6) is true. What is the value of 0 ?

A: If both the angles x and y are acute then    sin x=cos y⇒sin x =sin 90°-y⇒x=90°-y⇒x+y=90°For an…

Q: Assume Za is opposite side a, ZB is opposite side b, and Zy is opposite side c. Solve triangle ABC…

A: Given,            ∠A=α=45.7° , b=12.4 mi and c=16.5 mi

Q: If cos(8) 3 and e is in the 3rd quadrant, find sin(e) 4 %3D sin(0) =

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Q: For an acute angle 0, the equation sin(8)=cos(6) is true. What is the value of 0?

A: solution  given below..

Q: In a right triangle = x and cos B= y which expression represents the value of sin C + cos C O y+x O…

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Q: If sin u = 5/13 and cos v = -3/5 and u and v are in Quadrant 2, find the exact answer a. sin (u - v)…

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Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: Find cos (2 θ) , if sin θ=15/17 and θ lies in quadrant I

A: sin² (x) + cos² (x) = 1 cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1

Q: Solve for the angle u, where 0 &lt; u &lt; 2pie.

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Q: If sin 0 + cose =p and sec 0 + cosece = q,show that q (,? – 1) = 2p

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Q: 12 what is the value of sec 13 (a+ If sin a 13 and cos a

A: Given,            sinα=513 and cosα=1213To find : secα+π4

Q: If cos b = and sin a = £, where a and b are between 0 and , evaluate: %3D sin 2a cos(a - b)

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Q: If sin A 315 3π 2 where π < A< then cos 2A =

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Q: Assuming all angles are acute, what is the solution for the following equation: sin A = cos 8A

A: The given equation is  sin A = cos 8A

Q: If tane = V3, e in quadrant III, find the value of (1 + cose) / (1 - cose). O 1/5 O 1/3

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Q: tan(a+β) ; cosα = −(11/61) for α in Quadrant III and sinβ = −(63/65) for β in Quadrant IV

A: To find: tan(α+β)

Q: Suppose cos(α)=−3/4 and sin(α) is negative. If the point (−3,y) is on the terminal side of the…

A: Use trigonometric ratio  &amp; its identity

Q: 15) In right ABYE, ZY is a right angle. Cos(B) is . What is sine of ZE?

A: Sin E=Opposite/hypotenuse  Cos B=Adjacent/hypotenuse

Q: c) do %3D sin*e cos?o

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Q: If sec(α)=25.2/19.4, then what is the value of cos(α)?

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Q: Find the exact value of : a) cos 60° = b) tan c) sin 45° = 4 e) sec0° = d) cos T =

A: Lets find exact value of given trigonometric function.

Q: In right triangle ABC, m2 B # mz C. Let sin B = r and cos B = s. What is sin C - cos C? O r/s Or+s…

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of the sides being…

Q: B/ Find sec a, sin a, csc a, tan a and cot a, if a =. -1 V3 = COS 2

A: Given query is to find indicated trigonometric functions.

Q: Use compound-angle formulae to solve, for 0 < 0 < 2r: a sin (0 + ) = 2 sin (0 – ) c cos 40 cos 0 +…

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Q: If sin e + cos e =p and sec e + cosec e = q, show that q (p? -1)= 2 p.

A: Solution-

Q: If sec(t)=−9.65, what is cos(−t)? If csc(t)=0.31, what is sin(−t)?

A: As we know from the trigonometric identities; 1). sinx=1cscx 2). cosx=1secx And The negative angle…

Q: If sin y° =  9/c and tan y° = 9/d, what is the value of cos y°?

A: We know that, tan y°=sin y°/cos y°, So, cos y°=sin y°/tan y°.

Q: Given P(A) = (4, -3), what is the value of of cos %3D A?

A: Given that P(A)= (4,-3), Our Aim is to find the value of cos (A) = ?

Q: b) If sin e = 0.625 and cose = 0.500, determine, without using trigonotric tables or calculators,…

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Q: If cos t = - 2/3, what are the possible values for sin t?

A: Given that cos t=-23. It is known that cos2t+sin2t=1 for all t.

Q: 4. s in quadrant C

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Q: If 2 cos e = - 1.625 and 0°se< 360°, what is e?

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Q: Sa 2 cos cos x? dx

A: The given integral is ∫cosx2 dx. Use Maclaurin series and Fresnel function concept.