Consider the length h of the perpendicular from point B to side b in the given triangle. Show that b tan a tan y h = tan a + tan y B

Q: If v x w = (-1, 4, 0) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

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Q: ABC is a right angled triangle with AB = 4 units and BC = 3 units Prove that for the angle marked x°…

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Q: Consider the given right triangle with legs of length x cm. and y cm. and angle O radians. If x is…

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Q: In the accompanying diagram, PÁ is tangent to circle O at A and PBC is a secant. If AB:BC: CA =…

A: Given PA is tangent to circle O at A and PBC is a secant to find angle P

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: Find the area of the sector formed by the given central angle  theta in a circle of radius r.…

A: Given that θ=2.4,r=4 inches.

Q: Plot point L using a negative radius and a positive angle (in radians) in standard position. 10…

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Q: The circles r = sqrt(3) cos u and r = sin u intersect at the point (sqrt(3)/2, pai/3). Show that…

A: For r=sqrt(3)cos(theta) find dr/d theta

Q: consider a triangle with sided 3cm, 4cm, and x cm. Let theta be the included angles of the sides…

A: Area of triangle

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: In ASTU with a right angle at T, the tangent ratio can be used to determine the length of TU as a)…

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Q: In the given figure , the common tangents AB and CD to two circles with centres O and O' intersect…

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Q: Define sin t, cos t, and tan t for an angle of measure t for any t.

A: Define sin t, cos t and tan t for an angle of measure t. Consider a right angle triangle with base…

Q: Show that the curves r = a sin θ and r =  a cos θ intersectat right angles.

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Q: Given that sin u = * and u is in Quadrant II, find the exact value of tan(). Type in whole numbers…

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Q: Given a triangle on a hyperbolic surface of absolute length R with a sum of the vertices equalling…

A: The below figure represents the half plane model which is same as Euclidean angles,A hyperbolic…

Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

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Q: Suppose that 0 is an angle in standard position whose terminal side intersects the unit circle at 7…

A: Solution: The objective is to find the required values

Q: Let a be angle such that cos a = -- and sin a > 0. What is the exact value of sin a?

A: Only 2nd quadrant is the only region where cosα is -ve and sinα is +ve

Q: If A is the dgree measure of an acutre angle and sin A =0.8, then cos(90-A) = a) 0.2 b) 0.4 c) 0.5…

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Q: Suppose i· w 7 and ||i x w|| = 4, and the angle between v and w is 0. Find (a) tan 0 = (b) 0 =

A: Given that: v.w = 7 for dot product we know that: v.w = |v|*|w|*cos  |v|*|w|*cos  = 7 Given that:…

Q: Find the angle 0 between and 37 such that sec(0) = – /2. -

A: We can solve the problem by finding the angle between the interval.

Q: 1. Show using similar triangles that tan 0 and cot 0 are the respective measures of line segments AR…

A: Using figure ,∠QOA + ∠QOB = 90°⇒θ+∠QOB = 90°⇒∠QOB = 90°-θIn ∆QBO ,∠QBO = 90° and ∠QOB=90°-θ ⇒∠OQB =…

Q: 1) Circle P is tangent to each side of ABCD.AB=20, BC=11, and DC=14. Let AQ=x. Find AD.* B P.

A: Theorem  Pair of Tangents are equal in length from external point to a circle

Q: If the area inside both the cardioid r 6 + 6 sin 0 and the circle r = 6 is A + B-, then what is %3D…

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Q: COS Cos e and tan tan D = 2/2 %3D

A: A unit circle used to verify trigonometric ratios is constructed as follows:- The ratios from the…

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: If v x w = (2, -2,5) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

A: Topic- Dot and Cross product of Vectors

Q: find the total length of the circle r = 2a cos 0 for a > 0?

A: Recall the below fact.

Q: Give the length of the missing leg. cos(A) %3D cot(A) %3D

A: We can use Pythagoras theorem to find the value of Missing leg.   Pythagoras Theorem  In a right…

Q: sin B  =  ​       cos A  =  ​       (b)    sin A, cos B sin A

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Q: A right triangle has a hypotenuse of length 1 and an angle a. Establish a relation between cos a and…

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Q: GIVEN: In Figure 6.46, AB and AC are tangents to 00 from point A; B and C are points of tangency.…

A: Given, AB and AC are tangents to circle with center O from point A (external point). B and C are on…

Q: From the information given, find the quadrant in which the terminal point determined byt lies. Input…

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Q: Find the angle between two lines having slopes of 1, and 1/2 respectively. (A) sin (B cos (c) sec D…

A: In this question, we need to find the angle between two lines having slopes 1 and 1/2 respectively.

Q: 63. Let e be the angle between the line y = mx + b and the x-axis [Figure 29(A)]. Prove that m = tan…

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Q: (C) is a circle of center 0 that has a circumference of 36 cm. A and B are two points of (C) such…

A: Ans-40.86 degree or 0.713 radian .......detailed solution I have given ...hope you will get…

Q: The area of one lobe of r = 5 sin(20) is

A: to find the area

Q: Calculate the length of the astroid x + y = 1 shown in the following figure. X+

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Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to…

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: Suppose the angle formed by the line y = 2x and the positive x-axis is 8. Find the tangent of 8.…

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

A: topic - trigonometric ratios sec θ=1cos θ=hypotenuse basecos θ =base hypotenusecot θ=cos θsin…

Q: Use a coterminal angle to find the exact value of the exgression. De nt sin 750° O 2 O 23 3. 1/2

A: Given:   sin(750°)writing 750°=2×360°+30° sin(750°)= sin(2×360°+30°)we know that 360°=2πThen…

Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that

A: The triangle ABC is  We have to prove   ,where  the length h of the perpendicular from point B to…

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: If v x w = 67 - 7j + 9k, and v.w = 7, find tan 0 where 0 is the angle between v and w. tan 0 =

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Q: From the information given, find the quadrant in which the terminal point determined byt lies. Input…

A: (a).    The sine function is negative in third and forth quadrant.   The cosine function is negative…

Q: 3. Given the following definitions, draw a right triangle that fits the descriptions: sin y =K/L and…

A: siny=KL and tanθ=ZY

Q: Find tan theta if theta  is the angle formed by the line y = mx and the positive x-axis

A: We need to find tanθ for the given equation of line