If the powers of both sine and cosine are both even, what trigonometric identities can be used as a substitute?

Q: if sine + cose = 2 sin( 90° – 0),determine cote

A: use the property of trigonometric function to find the desired value.

Q: Find an angle 0 with 0° < 0< 360° that has the same: Sine function value as 250° degrees %3D Cosine…

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Q: If sin θ = 5/13 and θ, lies in quadrant II, find the exact value of cos 2θ.

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Q: By using Trigonometric identities, find the exact value of the expression, cos212°cos122° +…

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Q: Use the half-angle identities to find the exact value of the trigonometric expression. sin 곰 12

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Q: If the sine ratio is given, then how can sin : be determined?

A: We can calculate sinx/2 by half angle formula

Q: Use the Difference Formula for Cosines to Find the Exact Value of cos 80° cos 20° + sin 80° sin 20°.

A: We have to find the value of cos80°cos20°+sin80°sin20° using the difference formula for Cosines. We…

Q: Starting with the identity sin2 u + cos2 u = 1 and the formulas for cos (A + B) and sin (A + B),…

A: Consider the identity,

Q: When proving identities, do I have to write the variable associated with each trigonometric…

A: Question: When proving identities, do I have to write the variable associated with each…

Q: 3) If tane = 1.686 and the sine = .860 a) Find the value of sece. b) In which quadrant is 6 located?

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Q: If there is only one value that makes a statement false, then the statement is not an identity.…

A: Answer is 4/3 since that is the only angle at which  is going to be in third quadrant and hence,…

Q: Indicate the two quadrants  could terminate in given the value of the trigonometricfunction. sin…

A: For 180°&lt;θ&lt;0° that is first/second quadrants then sin θ has a positive value. For…

Q: Use the half-angle identities to find the exact value of the trigonometric expression. sin 75°

A: The given trigonometric expression is  sin 75°   Half angle formula: sin θ2=1-cos θ2sin θ=1-cos 2θ2

Q: what is sin 12 degree to the nearest hundredth

A:

Q: In terms of the sine of a positive acute angle, what is the expression for sin(2π/3)?

A: To find the value of sin(2π/3)

Q: find the exact values of the trigonometric values below sin60 + cos45 - tan60

A:

Q: Suppose sine 5 and cose 13 12 Find 13 %3D - - tane.

A: To find the value of tangent using the trigonometric ratio

Q: If Sin θ 0, then θ lies in which quadrant?

A: Given that, Sin θ &lt; 0 and Cos θ &gt; 0   Since, Sin θ is negative in quadrant III and quadrant IV…

Q: snip

A: Consider the given point as 4,-3

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: If (-2, 5) is a point on the terminal side of angle 0, find the exact value of each of the six…

A: We draw the figure as

Q: Find the exact value of each of the six trigonometric functions of 0, if (- 8, -3) is a point on the…

A:

Q: Refer to the appropriate triangle or trigonometric identity to compute the given value. tan(sec-1…

A: Here given as tansec-1-2

Q: If 75° 150 then use the half-angle formulas to determine the exact value of sin(75°) cos(75°)

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Q: 3. If sine 1 and 0 lies in Quadrant IV, 4 %3D find cose.

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Q: If cose =- and 0 is in Quadrant II, find the exact value of sin20 %3D 3.

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Q: Use half-angle formulas to find exact values for the following. sin (15°) -

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Q: Find the exact value of the trigonometric expression without the use of a calculator. tan 6 4.

A: Here we use the trigonometric identity to solve the problem.

Q: Which of the following products of trigonometric functions of different frequencies is equivalent to…

A: This is a problem of identity and counting and frequencies.

Q: Give two elements that you need in solving a trigonometric application problem.

A: To give: To element that is needed to solve trigonometric application problem: Explanations:…

Q: If the sine of the smaller acute angle in a right triangle is 0.6, what is the sine of the larger…

A: Sine of the smaller acute angle is 0.6, which is equal to 35 Sin θ=35θ=Sin-1(35)θ≈37°

Q: If the sine ratio is given, then how can sin be determined?

A:

Q: Find the exact value of the trigonometric expression without the use of a calculator. 3T tan 5 13л…

A: To simplify the given expression

Q: Evaluate the sine, cosine, and tangent of the angle without using a calculator. (If an answer is…

A: sin(A-B)=sin(A)cos(B)-cos(A)sin(B) cos(A-B)=cos(A)cos(B)+sin(A)sin(B) tan θ=sin θcos θ

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at x = . What are the…

A: The terminal side of an angleintersects the unit in the first quadrant at Now if (x, y) is any…

Q: If 3 tane=3 sine, find the value of sin e - cos 0.

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Q: Find the values of the six trigonometric functions of 0 if the terminal side of an angle 0 in…

A: Given : Terminal arm passes through(7,-1),   x = 7, y = -1   where,    r = √x2+y2 = √(7)2+(-1)2 r =…

Q: Give the exact value of the expression without using a calculator. sin 2 cos

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Q: 1. Find cose if sece = 5.

A: To find the value of cosine using the trigonometric identities

Q: If you know the sine value for a given angle, how can you quickly find the cosecant value for that…

A: See attached file for a detailed explanation and I also give an example so you can easily…

Q: The value of sin 440 degrees is equal to?

A: Compute the value of sin 440 degree as follows. Rewrite sin 440 degree and simplify further.

Q: Initially, when attempting to simplify trigonemtric expressions, it is often simpler to rewrite…

A: By using definition of tan(θ) and reciprocal identities, we can write a) tan(θ)=sin(θ)cos(θ)b)…

Q: One way to simplify an expression containing trigonometric functions is to first writethe expression…

A: One way to simplify an expression containing trigonometric functions is to first writethe expression…

Q: Find an angle 0 with 0° < 0 < 360° that has the same: Sine as 80°: 0 = degrees Cosine as 80°: 0 =…

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Q: If cos(@) and 0 is in the 1st quadrant, find sin(0) %3D sin(@) = %3D

A: In first quadrant all the trigonometric ratios are positive. Therefore sine is also positive.

Q: If the powers of both sine and cosine are both even, what trigonometric ifentities to be used as a…

A: I am attaching image so that you understand each and every step.

Q: If (5,−7) is a point on the terminal side of an angle θ (theta), find the exact value of the six…

A: First draw a diagram showing the coordinates. The Pythagoras theorem states that the sum if the…

Q: If 0 then 3 || sin(0) = cos(0) = Give exact values. No decimals allowed!

A: Please refer the attached image for complete solution.