Prove the ff Trigonometric Identities: 2. (1- cos²0) csc=0 = 1 3. sect V(1– sin²0) = 1

Q: 12. Verify the identity by transforming the left side of the equation into the right side. csc 0-sin…

A: 12. We need to verify the following identity cscθ-sinθ = cotθcosθ

Q: If 0° < 0 < 90° and sin 0 = , find cos 0 using trigonometric identities. 13

A: Explanation of the answer is as follows

Q: Determine sin(cos a) if a = 0°. Do not include the degree symbol in your answe

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Q: Find the exact value of each of the remaining trigonometric functions of θ .

A: The cosine function is negative for argument in the second and third quadrant. The sine function is…

Q: Suppose that sina= 13 and TC <a<Tt. 2 Find the exact values of cos and tan 2 cos = 0 %3D CoS 2 | %3D…

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Q: Given that cos(0) with sin(0) < 0, use identities to solve for sin(20) 13 Round to three decimal…

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Q: Find the exact value of the remaining trigonometric functions of θ.

A: Consider the given graph tanθ=-34

Q: 10. If csc0 : and 0 is in the third quadrant, find cos 0, sin 0, and tan 0. 4 --

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: In right angle trianlge as shown in fig. PerpendicularHypotenuse = sin θBaseHypotenuse = cos…

Q: solve the given trigonometric equations analytically (using identities when necessary for exact…

A: Answer of the question as follows:

Q: Find the exact value of cos 0, given that sin 0 = -. 11 and 0 is in the third quadrant.

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Q: Find the exact value of cos150°∙tan330°∙sin240°

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Q: Given that O 1800, determine the numerical value of this %3D sine = %3D -1 1

A: Put  thetha=180°

Q: A right-angled triangle xYZ has an angle, o, where sin o = 5. Without evaluating &, calculate the…

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Q: If cos(8) 1 and 0 is in the 3rd quadrant, find sin(0) %3D 6. sin(0) = %3D

A: Given: Since, So,

Q: 5. Is the equation cos 0 – sin 0 =1 an identity? If so, verify it. If not, explain why. %3D

A: The trigonometric equation is an identity if it is true for all cases. To check if the equation is…

Q: and tan (즐) Find sin cos from the given informat 5 sin(x) 0° < x < 90° 13" %3D

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Q: Find the values in

A: Given:

Q: Find the approximate value of csc 46° and sec 46°, given that sin 23° 0.3907.

A: We have to find out

Q: verify the trigonometric identity below. 1+ sin(2θ)+(sin(θ)+cos(θ))^2

A: Given data 1+sin2θ=sinθ+cosθ2

Q: Find the exact value of cos20 given sin0 =- and 0 < 0 < 13

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Q: V3 and 0 in QII sin 0 %3D

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Q: Verify the following trigonometric identity. Clearly indicate in a few words how you got from one…

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Q: 12. Find cos (B + C) given that sin B = -, with B in QIV, and sin C: with C in QII. 1/4

A: given: sinB=-12 with B in quadrant IV and sinC=14 with C in quadrant II we have to find the value of…

Q: 5. Use a half-angle identity to find the exact value of sin cos x = 12

A: To find the value of sin

Q: 7. Given that sin 0 and 270° < 0 < 360°, sketch 0 in standard position and f 13 а. sin b. cos ç. tan

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Q: How do you solve this and can you show me step by step?

A: For a trigonometric function, the length of one complete cycle is called the period.By graphing the…

Q: 5. Is the equation cos 0 - sin 0 = 1 an identity? If so, verify it. If not, explain why. %3D

A: As we know that an identity is satisfied by any value of variable . Let's check for given equation .

Q: Determine whether the statement below is true or false. cos°0° + sin20° =1

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Q: Find the exact value of all six trigonometric functions for secθ= 2 √5 where θ is in Q IV.

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Q: Use a ratio identity to find tan 0 if 24 and cos 0 25 sin 0 25 7

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Q: What is the exact value of cos- (sin a) where a = 13T radians? 4

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Q: - Find the value of each of the following: 4T Cos 3 sin(-30°) , ,sec(165°)

A: as per our guidelines, i can answer only one equation with three subparts. To know rest, please re…

Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. Sin^6(5x)=?

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Q: Find cos theta is sin theta = 1/2 and theta terminates in QII

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Q: 13. Prove the following trigonometric identity until LS = RS %3D sec20-tan?0 %3D Csc e sin20 csc 0

A: We can prove the identity as below.

Q: what is the exact value of the following  y= sin^-1(theta3/2) and y= accros (-theta2/2)

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Q: Evaluate the expression under the given conditions. tan(20); cos(0) = 0 in

A: Given  cos(θ)=35, θ in Quadrant I. We have to find the value of  tan(2θ).

Q: What is the exact value of sin (157.5°) using the half-angle identities? 2 /2+V2

A: We need to evaluate the exact value of sin(157.5o). So,              sin157.5∘ Use the following…

Q: Find the values of the other trigonometric functions of 0 given that sin 0 2

A: Explanation of the answer is as follows

Q: Find the exact value without any technological help a) sin (2π/3) b) cos (3π/4) c) cos (11π/6)

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Q: Find identities for cos 50 and sin 50 using De Moivres Theorem.

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Q: Simplify cos sin(9z) + sin(3z) s(92)- cos(3z) to an expression involving a single trigonometric…

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Q: Find the exact value of sin7pi/4+cos4pi/3

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Q: Verify the identity. sin(0) 1 - cos(e) csc(e)cot(e)

A: Given,

Q: Find the exact value of the trigonometric expression given that  sin(u) =-3/5, where 3π/2 &lt; u…

A: Here we have to find the cosecant function, which is inverse of the sine function.   Use the…

Q: What is the exact value of sin(67.5°)cos(22.5°)?

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Q: If cos (0) = - and tan (0) < 0, find all other trigonometric functions of 0.

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Q: Use the result (cos θ + i sin θ) 2 = cos 2θ + i sin 2θ to find trigonometric identities for cos 2θ…

A: The given result is: cos θ+i sin θ2=cos(2θ)+i sin(2θ)