The value of Sinh(3i) is A)-i sinh 3 B)i sinh 3 C)i sin 3 D)-i sin 3 E)none

Q: The law of cosines generalizes the Pythagorean theorem. True or false?

A: Law of cosine is

Q: Two observers are standing on shore 2 mile apart at points F and G and measure the angle to a…

A: Given, The distance between point F and point G = 1/2 mile

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

A:

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We can find the value of y and z as below

Q: 41 Write tan 36 in terms of the tangent of a positive acute angle. Select the correct answer below:…

A:

Q: In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D. such…

A: If a tangent and a secant are drawn to a circle from an exterior point to the circle, then the angle…

Q: (1+cot 8) de 5. sin eJ4 - cote

A: ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫…

Q: VTO 10 and Consider an angle with sin 0 = cos 0 = 10 310 %3D - What point on the unit circle…

A: Point on unit circle is given.

Q: A 12-foot ladder leans against a building and reaches a window 10 feet above ground. What is the…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE BELOW.

Q: Label the triangle angle 35 Sin 35= Tan 35= Label each side with H for hypotenuse, O For opposite…

A:

Q: 20) If 8 is an angle with terminal side in 4th quadrant such thatv tan 9 = a) O b) O c) O d) O then…

A:

Q: Two sides of a regular pentagon are produced fo form angle x .what is x?

A: Given , Two sides of a regular Pentagon are produced to form an angle x We need to find x The…

Q: What is (cos(teta) + jsin(teta))n?

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Q: Sketch a triangle that has acute angle 0. 40 cos(0) %3D 41

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Q: What is radius of each fourth root of 0+4 i?

A: Given complex number is 0+4i We need to find the radius of each fourth root of 0+4i.

Q: 2. For which angles 0, is sin(o) negative? Select all that apply. Explain. -- T 2 137 4 197 - 6

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Q: Sketch a triangle that has acute angle 0. tan(0) = 2

A: See attached file for a step by step explanation.

Q: A 20 ft ladder leans agaainst a building so that the angle between the ground and the ladder is 70…

A:

Q: A gun is fired with angle of elevation 30o. What is the muzzle speed if the maximum height of the…

A:

Q: Find the angle 0 between w = cos 플 i+ sin푸 7 cos플 i + sin and %3D

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Q: Find the length of an arc on a circle of radius 8 correspondings to an angle of 135∘. Arc length =…

A: Length of arc = (angle × 2πr )/ 360o

Q: Show that a formula for the altitude h from a vertex to theopposite side a of a triangle is

A: Given: h=asinB sinCsinA

Q: What is the smallest positive degree angle measure equivalent to sin − 1 ⁡ ( 0.391 ) ?

A:

Q: The standard formula for the tangent of the sum of two angles is tan(A + B) = (tanA+tanB)/tanAtanB)…

A: Using the identity:

Q: 17) ABCD~AWYX. Which 3 trigonometric ratios are congruent to sinY? B W

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Q: angles 8l a nor Zero veC a) Show that 0?

A: Theorem: If θ be the angle between two vectors a→and b→, then it must satisfy, a→.b→=a.bcosθ.

Q: the law of sine for plane triangles given by All of the above is true .I O sina/a sine/b sinø/c .I O…

A: In this question we have to choose the law of sine of plane triangles

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation.

A: Given,           A triangle is shown below :

Q: Find the exact value of s in L-7,7) by first finding the reference angle along with 45-45-90…

A:

Q: Point C is located on AB such that the ratio of AC : CB is 3:2. What is the x-coordinate of C?

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Q: 1. GR intersects TV at point O. ZTOR is an obtuse angle.

A:

Q: How does the value of sine and cosine relate to writing proofs about triangles?

A: Let, ABC be a right angle triangle as shown in the figure sine(θ) = a/h cosine(θ) = b/h

Q: Given that sin (x) dx -TT, what is 8. sin (0) de? %3D

A:

Q: In a right triangle, tan 6 0.75. Which side is longer, the opposite or the adjacent side? Explain…

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Q: In terms of the tangent of a positive acute angle, what is the expression for tan(7π/8)?

A: In the question it is asked to write acute angle expression for tan(7π8).

Q: Can you show how to prove that triangles ABC and AEA' are similar using Inscribe Similar Triangle…

A: Aim: To show how to prove that triangles ABC and AEA' are similar.…

Q: All acute angles measure less than 90 degrees. Hypothesis and the conclusion

A: Given,          statement is-                                      " All acute angles measure less…

Q: 3. The top and bottom of a five-foot high snowplow are to be attached to two steel braces of…

A: Given problem is :

Q: . What is the value of limuS0 ((sin u)>u)? Does it matter whether u is measured in degrees or…

A: Limit:     S→0limsin uuThis is the required value of the given limit. So it doesn't matter.

Q: 15/ \* , find the length of side z using the Law of Sines. Round your final /37° 28° Given the…

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Q: Prove that sin(x + y) # sin x + sin y by identifying one pair of angles x and y that shows that this…

A: We have to prove that, sin(x+y) ≠ sinx + siny by identifying one pair of angle x and y.

Q: Apply the Exterior Angle Theorem 40° (2x+ 20)° X3D

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

Q: Determine the value of trigonometric ratios of special angles. 1. sin 30° = 2. tan 45 = %3D 3. csc…

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Q: sin 0) B) 67 10) C) 167 D) 6

A:

Q: What’s the smallest positive degree angle measure equivalent to sin^-1(0.391)?

A: sin^-1(0.391) = 0.4017

Q: How does the law of cosines generalize the Pythagorean theorem?

A: We have to show that the law of cosines generalize the Pythagorean theorem.

Q: Thui then had an idea. "Is there a connection between the angles and sides in the BIG triangle…

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Q: What are the other five trigonometric ratios of 0 in a right triangle with cot 0 = 2? %3D 16

A:

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: Express the length x in terms of the trigonometric ratios of 0. X = 20

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.