Triangles XYZ and PQR are inscribed in the same circle. If the perimeters of the two triangles are equal, show that sin X+ sin Y+ sin Z=Sin P + sin Q + sin R

Q: The degree measure of an angle in a right triangle is x. You are given that sin x = 1 *. Which of…

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Q: A right triangle has side lengths d, e, and fas shown below. Use these lengths to find sin x, tan x,…

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Q: A right triangle has side lengths 9, 40, and 41 as shown below. Use these lengths to find tan Y, sin…

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Q: 2. What is the tangent ratio of angle B? A оо о с tane = A AC tane= tane tan0 = Ac BC ВС В

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Q: A circle has a radius of 6. An arc in this circle has a central angle of 48". What is the length of…

A: We know, Arc length l,subtending an angle θ (in degrees) at center of the circle with radius r units…

Q: A right triangle has side lengths 8, 15, and 17 as shown below. Use these lengths to find sin X, tan…

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Q: - In the acute- angled triangle OPQ, the altitude OR makes angles A and B with OP and OQ. Show by…

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Q: If two angles and the included side are given, the third angle is easy to find. Use the Law of Sines…

A: let BAC is the triangle such that  sides of a triangle are  BC=a; AC=a and AB=c ;  the corresponding…

Q: A side of the triangle below has been extended to form an exterior angle of 137°. Find the value of…

A: Consider

Q: Find x if it is the measure of an acute angle in a right triangle and sin x =0.5015.

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Q: 10 to In the figure above, sin x° What is the perimeter of the figure?

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Q: Suppose that is an angle in standard position whose terminal side intersects the unit circle at Find…

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Q: For any angle 0 in standard position, let P = (x, y) be the point on the terminal side of 0 that is…

A: Given : For any angle θ in standard position, let P = ( x, y) be the point on the terminal side of θ…

Q: Suppose that cote = c and What does sin equal in terms of c? O sin = √1+c² O 1 sin = √1-c² O sin =…

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Q: The circle shown above has a radius of 4. The central angle, a, of the sector is -a radians, and the…

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Q: Find the quadrant in which an angle 0 lies, if sin(0) > 0 and tan(0) < 0. i) I ii) II iii) III iv)…

A: We can solve the problem by finding the quadrant in which theta lies.

Q: Show that, given the three angles A, B, C of a triangle and one side, say a, the area of the…

A: Let's add a draw a diagram to help us out.   The area of any triangle is given by                A =…

Q: A side of the triangle below has been extended to form an exterior angle of 159. Find a value of X

A: Solution: The objective is to find the value of x

Q: A right triangle has side lengths d, e, and f as shown below. Use these lengths to find sinx, tanx,…

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Q: In APQR, sin Q = , sin R = and q = 15. Find the side length r. Select the correct answer below: O r=…

A: From the given problem the representative diagram is shown below.     Given, sinQ=13 ; sinR=15 ;…

Q: For positive acute angles A and B, it is known that cosA=8/17 tanB= 24/7 Find the value of…

A: Given that  A and B are two positive acute angles. cosA = 8/17 and tanB= 24/7 We have to find the…

Q: In a right triangle, sin(β) = 0.292. If the hypotenuse of the triangle has a length of 17.5 cm, what…

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Q: 2 In APQR, sin P = =, sin Q = , and p = 15. Find the side length q.

A: We are going to use sine rule in the given problem

Q: ABC is a triangle and rB (respectively c) a circle passing through A and tangent to BC in B…

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Q: A side of the triangle below has been extended to form an exterior angle of 128°. Find the value of…

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Q: of triangle ABC is Show that the given by area (1/2)ab sin C = (1/2)bc sin A = (1/2)ca sin B. a B

A: Consider a triangle ABC having side lengths AB=c, BC=a and CA=b respectively.

Q: In APQR, sin P = , sin Q =, and p = 15. Find the side length q. %3D Select the correct answer below:…

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Q: Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. 7. V34…

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Q: The given triangle has area 35. Find x.

A: To find x Given Area of triangle is 35

Q: Suppose a right triangle has a leg of length a = 20 and hypotenuse of lengthc=29. Find the length of…

A: Pythagoras Theorem:-292 = b2 + 202⇒ b2 = 841 - 400           = 441 = 212⇒ b = 21Hence b = 21sin B…

Q: A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find sin Y, tan…

A: Use the the tirgnametric rations .

Q: In a right-angled triangle ACB, cot B = the value of sin A is . %3D 12 13 Select one: O True O False

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Q: Shown are three similar triangles such that ARST AUVW AXYZ- Find the values of Sin Vand tan Y and…

A: It is given that all three triangles are similar.

Q: A right triangle has side lengths d, e, and f as shown below. Use these lengths to find tan x, cos…

A: To find - tan x , sin x &amp; cos x

Q: Suppose that a and B are in the first quadrant, sin(a) = and sin(B) = What is sin(a + B)?

A: The solution is :

Q: 25. In which quadrant of an angle e in standard position is tan 0 >0,sin 0<0? a. QI b. QI c. QIl d.…

A: Solution: The objective is to evaluate the given equation

Q: In the Figure, CB is a diameter of a circle with a radius of 2 cm and center O, A ABC is a right…

A: Solve for sin a

Q: A side of the triangle below has been extended to form an exterior angle of 136°. Find the value of…

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Q: he following statements is true for an angle of ard position? Only the tangent ratio would be…

A: Topic:- trigonometry angle

Q: ABC is a triangle and rB (respectively c) a circle passing through A and tangent to BC in B…

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Q: In any triangle ABC prove that a sin (B-C) + b sin ( C - A) + c sin ( A - B) = 0

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Q: The value of arcsin KIJ 4 O K|6 O KIM R 3 KIN 2 (9) is___

A: SOLUTION-

Q: Label the triangle angle 45 Sin 45= Tan 45= Label each side with H for hypotenuse, O for opposite…

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Q: If x= tane, then cost do by trigonometric substitution. dr = (1+x2) ½ True B) False

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Q: A circle has a radius of 2in. Find the length s of the arc intercepted by a central angle of 3π4…

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Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find cos Y, tan…

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Q: What is the Length of the arc of the circle r = sin θ that remains outside of the cardioid r = 1 —…

A: According to question given thatr=sinθr=1-sinθ

Q: d: E • R. 130°

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Q: Suppose that y is an angle with secy = and y is not in the first quadrant. Compute the exact value…

A: Given trigonometric function is secγ=97 We know that cosθ=1secθ So, we have cosγ=79