Integrate cosine of twice theta with respect to theta.

Q: solve in radians using exact values sin3xcos2x+cos3xsin2x=1

A: General solution for  sin θ = sin ∝  θ = nπ + (-1)n∝ ,     n ∈ Z

Q: Explain sine law and cosine law.

A: to explain about the sine and cosine law

Q: A satellite is rotating around the Earth 0.25 radians per hour at an altitude of 242 kilometers…

A:

Q: A vegetable garden is being planned in between two buildings measuring 20 meters and 45 meters tall…

A: Let p and q be the angle of elevation of smaller and taller buildings respectively from the ground.…

Q: Explain tan theta in terms of sin theta

A: Express tanθ in terms of sinθ.

Q: True or False and explain why 1. One degree is larger than one radian.

A: A radian is much bigger than a degree. A circle has 2π radians (a little more than six radians). A…

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine function value as 250° 0 = degrees Cosine…

A:

Q: *. A train is travelling counterclockwise (starting at the 3 o'clock position) on a circular race…

A: Given: The train is travelling counterclockwise starting at the 3 o'clock position on a circular…

Q: Sinize da Cos2x-5 Cosse +4

A:

Q: Find all six exact trigonometric functions for the angle formed by the terminal side (containing the…

A: To find all six exact trigonometric functions for the angle formed by the terminal side (containing…

Q: With her arms fully expanded, a baseball player swings her bat. Using her shoulders as the center of…

A:

Q: While sitting in class doing homework, Mr. T decides to take his pen and spin it around. The length…

A: Solve for angular velocity

Q: Calculate sin 2i

A: We have to calculate the value of sin(2i)

Q: Find sec- (7.9) (in radians). (Hint: Use cos-1)

A: To find:sec-17.9

Q: Determine the Amplitude and Period of Sinusoidal Functions

A: To determine the  Amplitude and Period of Sinusoidal Functions

Q: If sec of theta = 16 , find sin of theta. (This should be an exact answer, not a decimal…

A:

Q: sine + cose -

A:

Q: Explain how a right triangle can be used to find the exact value of sec ( sin ).

A: Consider the right triangle as Using Pythagoras rule x=52-42=25-16=9=3

Q: Use a right triangle to prove the Pythagorean identity: sin²x + cos²x = 1

A:

Q: Convert the angle -105° in degrees to radians. Express your answer as a multiple of π.

A: Given angle in degree is -105o

Q: Indicate the two quadrants theta could terminate in if sin theta = -1/2

A: First quadrant: all six trigonometry function are positive. Second quadrant: Only sin and cosec are…

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A:

Q: What are the remaining 5 trigonometry functions sim theta =1?

A: Given query is to find the remaining trigonometric functions.

Q: One of the two acute angles in a right triangle has tangent of Find the 12 sine of the other acute…

A: Given Data: The tangent of angle A is: tanA=512   The right-angle triangle ABC is shown in the…

Q: Find sin(-theta)

A: Given,     sin θ  = -18

Q: Find all solutions of sec2 (x) – 2= 0 where 0 < x < 27. Write in exact radians list separated with…

A: first simply the given equation and then find value of x.

Q: Find an angle θ with 0°<θ<360° that has the same: Sine function value as 230° θ =  _____degrees…

A: To find an angle θ with 0°&lt;θ&lt;360° that has the same:a) Sine function value as 230°b) Cosine…

Q: Verify the identity. cot 2t %3D csct- sint csct

A: Given,  cot2tcsc t = csc t-sin t  We have to verify the identity

Q: explain how the exact values of sine and cosine are used to find the exact values of secant and…

A:

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 &lt;…

A: Given trigonometric identity is:

Q: Find cos theta if (1, -3) is a point on the terminal side of theta -1/3

A: Given: 1,-3 is a point on the terminal side of θ. To find: cosθ Solution: Point 1,-3 is in quadrant…

Q: An observer stands 2400 ft away from a launch pad to observe a rocket launch. The rocket blasts off…

A: This question can be solved using the concept of rate of change of quantities.

Q: Use appropriate double angle formulas to rewrite sin^(4)\theta in terms of the first power of the…

A:

Q: Explain how a right triangle can be used to find the exact value of:

A: Known fact: cossin-1x=1-x2secx=1cosx

Q: give an example of when law of cosines will have to be used first instead of law of sines

A: If you know the three sides, you can use the Law of Cosines to find any angle instead of law of…

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine function value as 210° degrees Cosine…

A:

Q: Simplify arcsin(sin 6 7). 6 7I

A: We have to find the angle

Q: Find all solutions in radians using exact values only.     sin3  5x =- 1

A: the given equation is: sin35x=-1 we have to find all solutions in radians using exact values only.

Q: Please

A:

Q: A 13 meter utility pole casts a21 meter shadow directly down a slope when the angle of elevation of…

A: A 13 meter utility pole casts a21 meter shadow directly down a slope when the angle of elevation of…

Q: when it is necessary to use the Law of Cosines instead of the Law of Sines.

A: This question is based on Law of Cosine and sine rule.

Q: Find the vertical translation of a sine or cosine function.

A: The vertical translation of a sine or cosine function is nothing but the graph is translated up or…

Q: What are the reciprocals of the sine and cosine ?

A: we have to determine the reciprocals of the sine and cosine.

Q: A Ferris wheel has a radius of 30 feet and travels 0.8 radians every 4 seconds. At what constant…

A: Angular speed (Omega) = change in radian/change in time

Q: Explain how a right triangle can be used to find the exact value of sec(arcsin(4/5)).

A: sin of an angle is defined as ratio between opposite side and hypotenuse. Let Creating a right…

Q: The angular velocity of a point on Earth is π/12 radian per hour. Describe what happens every 24…

A: Given that the angular velocity of a point on earth is  π/12 radian per hour. We need to describe…

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)

A: Our Aim is to verify the identity by converting the left side into sinesand cosines.5 sec (x)- 5 cos…

Q: Find an angle 0 with 0 < 0 < 2 radians that has the same: Sine function value as 3 radians Cosine…

A: The table of signs of different ratios in the quadrants is as shown below. II    only sin +ve I…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.