cos? 0-sin? 0 2. Prove the following identity: 1 cos? 0+sin 0 cos 0 - tan 0

Q: VERIFY THE IDENTITY : sin (2A) cos (2 A) = sec (0) %3D sin (e) Cos (e)

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Q: A 2. If 0° <0 < 90° and tan 0 =, find sin 0 using trigonometric identities. 1/4 445

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Q: establish each identity.

A: We have to prove the identity: tan2 θ cos2 θ+cot2 θ sin2 θ=1 We know the identities, tan θ=sin θcos…

Q: 2. Express each expression in a simpler form. a) cos 0 sec e b) tan 0 cos 0 c) tan 0 + cot 0 d) VI –…

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Q: Prove the following identities: tan 0- cot 0 sec? e - cosec 0 = tan? 0- cot? 0 sin O cos 0

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Q: snip

A: The given identity sinθcosϕ2+sinθsinϕ2+cos2θ=1

Q: 8 and sin(0) > 0, then find 7 If tan(0) (a) sin(0) (b) cos(0) || (c) sec(0) (d) csc(0) (e) cot(0) =…

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Q: Verify the identity: cot? 0 = 1-cos² 0 sec² 0+cos² 0 sin? 0

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Q: Which one of the following equations is not and identity? 1. + sin°(0) + cos (e) = sec (ø) cot (e 3.…

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Q: 1- (tan z)? 1+(tan r)2 Use algebra to prove the equation cos s(2r)%3D

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Q: cos (x) = 0.7. If x and y are complementary, what is sin (y)? Submit

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Q: 1-tan? e cos? 0 - sin? 0 1+tan? 0

A: To Show : cos2 θ-sin2 θ=1-tan2 θ1+tan2 θ.   Consider Right Hand Side: 1-tan2 θ1+tan2 θ. Apply tan…

Q: Prove the identity sin x cos²x+ sin?x algebraically and CSC X determine the non-permissible values…

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Q: (x^2)cos^2 x - (x^2)sin^2 x = ? Is this a double-angle trigonometric identity?

A: we have evaluate the following . We can use double angle trigonometric identity

Q: (1 + cos ?)(1 − cos ?)=sin2 ?

A: TO SHOW 1−cosx1+cosx=sin2x

Q: Verify the identity: sin? 0 + 2 cos 0 – 1 1 sin? 0 + 3 cos 0 – 3 2 1- sec e

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Q: W 2. Use an identity to find the value of cos (6- 270°). O - cos 0 O sin 0 O cos 0 O - sin 0

A: Value is evaluated using identity

Q: 65. The equation sin? 0 + cos? 0 = 1+ tan? 0 is an identity because sin? (0) + cos? (0) = 1 and 1+…

A: By  using simple identies of trigonometry.

Q: 23. If we verify the identity sin?r 1-cos z sec z +1 using a sec r then the value on both sides of…

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Q: 17) sin? 0(2 sec? 0+3csc? e) csc? 0 - cot? 0 + sin? 0 18) 1- cos? 0 cos? 0- sin? 0 19) 20)…

A: 17) Identities to be used to simplify the above expression are, Now simplify the given expression.…

Q: A3.-- LA = a/b * O cos cot sin sec tan

A: As per the instruction, we will be answering only the first question. For (3), Given:

Q: The value of the expression cos r- tan z-2 + sin z + sec is

A: sin2x+cos2x=1 sec2x-tan2x=1

Q: 10. Verify the Identity: sin O sec 0 = cos 0- cos 20. Are there any angles for which the identity…

A: Question 10,Given,          sinθsecθtanθ+cotθ=cos2θ-cos2θ

Q: Verify the identity. (Simplify at each step.) (1 + sin a)(1 – sin a) = cost - cos? a (1 + sin a)(1 –…

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Q: Match the equivalent expressions. O 1- sin?(0) a. cscʻ(0) O sec?(0) – 1 b. tan (0) - O 1- cos (0) c.…

A: The objective is to match the equivalent expressions.

Q: What is the simplified form of sec 0- sec e sin 0? cos 8 O sin 0 O cos? 0 O sec 0 Ono corrcct answer

A: Given query is to find simplified form given trigonometric expression.

Q: 12) sin? 0 +2 - cos? 0 = 3sin 0

A: (12) Given: - The equation is, sin2θ+2-cos2θ=3sinθ To solve: - The solution of the given equation.

Q: 11. cos (x) = sin (x + 20)° %3D I Answer:

A: We will use the trigonometric identity written below to answer this

Q: If cos (z +) + sin (z -) If cos( x + 6 + sin ( x 3 A, then the number A = %3D

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Q: II. Verify the following trigonometric identities. csc 0 7. sin 0 cot 0 = 1 tan 0 8. tan? x = csc? x…

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Q: 3) sin 0 = and < e <n. Evaluate sin 20 , cos 20 , and tan 20 2

A: sin theta=6/7

Q: 2) Find the value of: sec(tan )+ cos(sin ? 2. CoS

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Q: (). cos) and tan) from the given information. Find sin COS 2 2 2 sec(x) = , 270° < x < 360° 5

A: Given: secx=65, 270∘&lt;x&lt;360∘ we know that if, 270∘&lt;x&lt;360∘ then 135∘&lt;x2&lt;180∘ which,…

Q: 1+ cos 3. For the identity 1 + sec 0 = cos e a) Verify the identity for = 210° using exact values.…

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Q: The Pythagorean Identity states that: (sin x)2 + (cos x)2 = 1 %3D Given cos 0 = , find sin 0. 8 17…

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Q: -) Prove the identity. 1+ sin ß cos ß cos B + 1+ sinß 2 sec B %D

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Q: 2) Find the values of the six trigonometric functions for 0. Ar 5 12 sin 0 = csc 0 = cos 0 = sec 0 =…

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Q: Simplify (Tn +n) into an expression without fractions and (1+sin A 1-si involving only a single…

A: We will simplify the expression as following.

Q: If sin 0 0, which of the following is TRUE? (i) tan 0 > 0 (ii) sec 0 < 0 neither (i) nor (ii) only…

A: Use Trigonometric identity to check the statement.

Q: cos(e)tan(e) If is written in terms of sin(0) only and simplified, what is the resulting expression?…

A: The given expression,   cosθ tanθsec2θ-1

Q: find the exact value of sin 75 degree : sin (A+B)= sin A cos B + sin B cosA

A: To find the exact value of sin 75-degree.

Q: 3/3 find sin 0. 8. Given cos 0 = sin 0 = V[?] %3D

A: Given cos θ=338We know that sin2 θ+cos2 θ=1

Q: The formula for cos(at B) is cos a cos B - sin a sin B cos a cos B + sin asin B sin a sin B - cos a…

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Q: 3) tan? 0 – sec? 0 4) 1- cos? 0 1.092 5) (1- cos 0)(1+ cos 0) 6) (secx- 1)(sec x + 1) 1 1 sin? e 7)…

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Q: 2. If 5 sin 0 + 12 cos 0 = 13, then what is 5 cos 0 - 12 sin 0 equal to? (a) -2 (b)-1 (c) 1 (d) 0

A: We can find the answer as below.

Q: Verify the identity. (1 - cos?0)(1 • corin) 1 (1 - cos^»)(1 + cor°w) = sin°() (1+ %3D sin (x)…

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Q: 5. Determine the value of sin(arctan(3)+arctan(2)) using the trig identity sin(A+B) = sin(A) cos(B)+…

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Q: Prove the identity sin30 cos 30 = 2 cos e sin 0

A: The given equation is sin3θsinθ-cos3θcosθ=2 the objective is to prove the identity. the formula for…

Q: Solve for cosa in sin?g + cos?e = 1. 1/csco ±V(1 - sin ²0) O+V(1 + sin 20)

A: We can find the answer as below.