Establish the identity. sec 0• sin 0 = tan 0 Write the left side in terms of sine and cosine. • sin 0 Write the result from the previous step as a single fractio

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 3…

A: The given identity,      3 cot(x)sec(x)=3 csc(x)-3 sin(x)

Q: Tan(cos^-1(1/3)+sin^1(4/5)). Find the exact value

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Q: Find the exact value of sin 80° cos 50° − cos 80° sin 50°.

A: Given sin80°cos50°-cos80°sin50°

Q: tan A =-3, A in QII L. Find sin (A + B), cos(A+B), and tan(A+B) if cotB =-2, Bin OIV

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Q: Establish the identity. sin 0 sec 0 = tan 0 Write the left side in terms of sine and cosine. sin 0.…

A: To establish the given identity we use basic trigonometric relations.

Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: tan 20 (1+ cosec 20) is equal to:e A tan 04 B -tan 20 – 14 cos 0+ sin 0 C cos0- sine D -sin 20e E…

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Q: Find the exact value of sin (sin(-3)). Write your answer in radians in terms of A. If necessary,…

A: We know that  sin(sin-1x)=xtherefore sin(sin-1(-3))=-3

Q: Assume that sin(0.42) = 0.41. Use properties of the cosine and sine to determine sin(-0.42), sin(6π…

A: Given: sin0.42=0.41 Properties used: sin-θ=-sinθsinnπ-θ=--1n sinθcosθ=±1-sin2θ

Q: tan 20 (1 + cosec 20) is equal to: A tan e B -tan 20 – 1 cos 0+ sin e cose- sin e D -sin 20 E cot e

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Q: (a) It -S sine =4 and ee(90°:270°), determine without the use of a calculator and with the aid of a…

A: According to our guidelines, we can answer only the first question, the rest can be reposted. (a)…

Q: 5. Verify that the expression is an identity: sin? 0 = sec 0- cos 0 cos 0 6. Verify that the…

A: 5. sin2θcos θ=sec θ-cos θ6. sec2x-11+tan2x=sin2x

Q: Sin 37 = cos

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Q: and tan e>o Sine=- find cose Given and coto

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Q: Establish the identity. cos t - tant+ = sect 1- sint Write the left side in terms of sine and…

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Q: Verify the Identity. Sin E Cos O difference Write the left side of the identity using formula for…

A: As per guidelines only one question can be solved at time

Q: Verify the identity. sin = cos 0 Write the left side of the identity using a sum or difference…

A: As we know that; The sum and difference formula for the sine rule is:…

Q: sin theta- square root of 3 cos theta=square root of 3

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Q: tan 0+ cot 0 The expression can be reduced to sec 0 sin e 1 cos? 0 - 1 O sec2 0-1 O cot 0 1 1- cos?…

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Q: Verify the identity. You must use the format used in lecture, i.e. show that LHS = ... = RHS or RHS…

A: We can verify it as below

Q: sin(40°) Without using a calculator, find the value of sin (29°) + cos²(29°) cos(50°)"

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Q: tan 0+ sec 0 The expression can be reduced to 1+ sin 0 O sin 0 1 sin? 0 cos 0 1 cos 0 * Previous

A: To reduce the expression

Q: Verify the identity. (sec(x)- 1/sec (x) +1) - (sec x +1/ sec x -1)= -4csc(x) cot (x) First, Rewrite…

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Q: Prove the identity. 1+ cosx = 2 csc?x-1 sin x To verify the identity, work each side separately…

A: We have to check

Q: (tan 0+ cot 0) sin 0 = sec 0 Write the left side in terms of sine and cosine. sin 0

A: Given: left hand side is   tanθ+cotθ  sinθ since we know tanθ=sinθcosθ and cotθ=cosθsinθ, so we have…

Q: If sine 4 then find the value of 4 tan0 – 5cos 0 sec0 +4cot0

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Q: 7. Solve the trigonometric equation exactly on 0= tan?0+tan@ =0

A: tan2θ+tanθ=0tanθ(tanθ+1)=0tanθ=0 , tanθ=-1 For tanθ=0 tanθ=tan0θ=0 For tanθ=-1 tanθ=tan135θ=135

Q: sin 2A Using the identity tan A find the value of 1+ cos 2A tan 15° and tan 75° and hence solve that…

A: The given identity is, tanA=sin2A1+cos2A⋯⋯1 Putting A=15° in (1),…

Q: cos (0) + sec (-0) tan(0)sin (20) 5. Simplify the following expression:

A: Simplify the following expression

Q: Approximate to four decimal places, when appropriate.

A: Solution(a)sin 42∘ (b) cos 77∘ (c)csc 123∘ (d)sec (-190)∘  To find the approximate to four decimal…

Q: Using the sum and difference of sines formula, find the exact value of sin 12

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Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 3…

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Q: Use the appropriate reciprocal identity to find the exact value of csc 0 for the given value of sin…

A: given value of          Sin(θ) = -2/7     We have to find Cos(θ)

Q: Establish the identity. sin 0 cos e = cos 0 - sin e + - 1- cot 0 1+ tan 0 Write the left side in…

A: I am going to solve the given problem by using some simple trigonometry results to get the required…

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 3…

A: Verifying the identity

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) = , csc(x) < 0 sin(2x) =…

A: Trigonometric identity: - When pure mathematics functions square measure utilized in associate…

Q: Prove the identity. 1+ cos X = 2 csc?x-1 sinx To verify the identity, work each side separately…

A: Prove that 1+cos2xsin2x=2csc2-1

Q: Establish the identity. sint - cott+ = csct 1 - cos t Write the left side in terms of sine and…

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Q: (i) Prove the identity sin 2x- tan x cos 2.x = tan x.

A: See in the next step

Q: Use the appropriate reciprocal identity to find the exact value of csc 0 for the given value of sin…

A: topic - trigonometric ratios

Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

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Q: Establish the identity. cos 0( tan 0 + cot 0) = csc 0 Write the left side in terms of sine and…

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Q: Establish the identity. (a cos 0+b sin 0) + (a sin 0-b cos 0) = a? +b? ..... Square each term on the…

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Q: Using Euler's formula ete cose + i sin0 %3D Show that el0 +e-10 -e cose sine = 2i

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Q: Part 2 Establish the identity. cos ? 0 - sin 20 = 1-2sin 2

A: Establish the identity  cos2θ - sin2 θ = 1-2sin2 θ ...(1)

Q: Value of cos15° sin15°| is: sin 15° cos15 (a) 1 (d) none of these Select the correct response: a

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Q: Find sinθ and cosθ if tanθ=1/5 and sinθ &gt;0.

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Q: Prove the identity. sin(x - 7T) = -sin(x) Use the Subtraction Formula for Sine, and then simplify.…

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Q: Verify the identity. SHOW ALL STEPS! sin 0 5. csc 0 cos 0 + 1 sec 0 II

A: We need to prove the following identity sinθcscθ+cosθsecθ=1