Simplify each expression using the fundamental identities sin2 sec2r-1

Q: Write each trigonometric expression in terms of a single Trigonometric function. 2 tan 48 1- tan² 4ß

A: Given trigonometric function can be expressed in terms of a single trigonometric function as shown…

Q: Use the fundamental identities to simplify the expression. There is more than one correct form of…

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Q: Write each expression as an equivalent algebraic expression involving only x. (Assume xis positive.)…

A: Given: sin2tan-1x for solving this we assume tan-1x=θ and use formula sin2x=2sinxcosx so, tanθ=x…

Q: write each trigonometric expression as an algebraic expression in u. sin(cos-1u)

A: Solution: Consider the given trigonometric expression is: sincos-1u Let  θ = cos-1u⇒cos θ = u Now,…

Q: Find the exact value of each expression.   a)  tan-1(1/√3)     b) Sec-12

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Q: Use the fundamental identities to simplify the expression. sin 0 cos 0 sec0 csc0 Paragraph BIU

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Q: write each trigonometric expression as an algebraic expression in u.

A: We have to write the trigonometric expression as an algebraic expression in u: sin sec-1 u Assuming,…

Q: Evaluate sin 12 TT as sin +

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Q: Use the fundamental identities to simplify the expression sin ϕ(csc ϕ − sin ϕ).

A: we have to use the  fundamental identities to simplify the expression sin ϕ(csc ϕ − sin ϕ).

Q: Complete each trigonometric identity with an expression involving cos 2x. (a) sin2 x = _____ (b)…

A: cos(x+y) is given by ,                                  cos(x+y)=cos(x)cos(y)-sin(x)sin(y) so the…

Q: Evaluate each expression without using a calculator, and write your answers in radians.       sin -1…

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Q: Find the exact value of each expression

A: Here we have to find the exact value of each expression; A=csc2sin-1-35

Q: Find the exact value of each expression. sin 285°x sin 75°

A: Given expression: sin285∘sin75∘

Q: Verify that each equation is an identity.  (1-cos x / 1+cos x) = (cot x - csc x)^2

A: Multiply by (1-cosx) in numerator and denominator. Note: 1-cos^x=sin^2 x [Pythagorean identity]

Q: Use the Cofunction Theorem to fill in the blanks so that each expression becomes a truestatement.…

A: Cofunction Identities: sinθ=cos90∘-θ          ...(1)

Q: find the exact value of each expression.

A: Let sin-113=θsinθ=13 Finding tan from this: tanθ=19-1tanθ=18tanθ=122

Q: 4) sin 195°

A: Topic = Trigonometry As per guidelines , At a time only one question can be answered out of…

Q: Verify that each equation is an identity. 9. tan2 sin2 2 (tan x sin a х —

A: Refer to the question we need to verify the whether the provided equation is identity or not.

Q: Use the cofunction identities A. Sin62 degree B. Csc(pi/6) C. Tan43 degree

A: Given:A. sin 62°B. Cscπ6C. tan43°Co-function:sinA=cos90°-AtanA=cot90°-A

Q: Rewrite each expression as a product. Simplify if possible.    sin 7x + sin 3x

A: Given- sin7x+sin3x To rewrite- above expression as a product. Formula used- The formula…

Q: Verify each identity. 1-cos? 0 1. sin@sec0 %3D sinecose

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find each co-function. a) sin 18 b) tan 31° = c) cos(-종) 3: COS

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Q: Establish each identity.

A: To prove : sinπ+θ=-sinθ Concept used: Trigonometric identity sin(s+t)=sinscost+cosssint Here, s and…

Q: 3. tan (-810°) 7Tt 4. sin 6.

A: 3) The value of tan-810° can be calculated as, tan-810°=-tan810°                          as…

Q: Simplify each expression by first substituting values from the table of exact values and…

A: 5sin260°

Q: Write each expression as a single trigonometric function.    sin 3x cos 2x + cos 3x sin 2x

A: It is known that sina cosb+ cosa sinb=sina+b.

Q: Write the expression cos 50- sin 50 as a single term.

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Q: sine d. cosetane

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Q: 6. Find the exact value of each. a) sin 405° b) tan(-105°) 57 c) sec- 5 d) csc 2

A: the objective is to find the the exact values of given

Q: Write each expression as a single trigonometric function.   cos 5x cos x - sin 5x sin x

A: cos Acos B-sin A sin B=cos(A+B)

Q: Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in…

A: tan(θ)=sin(θ)cos(θ) sec(θ) = 1cos (θ) tan2 θ + 1 = sec2 θsec2 θ − 1=  tan2 θ

Q: Find the exact value of each expression.

A: Our Aim is to find the exact value of the expression given below:-sin tan-1-1-(i)

Q: Find the exact value of each expression . tan-1(-1)

A: Our Aim is to find the exact value of the expression given below:-tan-1 (-1) -(i)

Q: Simplify each of the following.   cos 2 165 degree - sin2 165 degree

A: We know the formula: cos2A = cos2A - sin2A   cos 2 165 degree - sin2 165 degree = ?

Q: Simplify each of the following.   1- 2 sin 2 75 degree

A: Given that: 1-2sin275° To calculate the value of sin (75) degree,…

Q: Use the fundamental identities to fully simplify the expression. cot(x) cos(x) + csc(x) sin²(x) In…

A: Please see the answer below.

Q: Write each expression as an equivalent algebraic expression involving only x. (Assume xis positive.)…

A: Given expression is: cot (sin-1 x/3) Let us consider: sin-1 x/3 = a Then we get, sin a = x/3 cos a =…

Q: Evaluate each expression.     sin sin (1/2)

A: Consider the given expression, sinsin-112 use the inverse trigonometric property, sinsin-1θ=θ

Q: Use the fundamental identities to simplify the expression. There is more than one correct form of…

A: Given,           7sinβtanβ+7cosβ

Q: Write the expression in terms of sine and​ cosine, and then simplify so that no quotients appear in…

A: Given, 1-cosecx1+sinx…

Q: Write each expression as an equivalent algebraic expression involving only x. (Assume xis positive.)…

A: Let the given expression be y - y = sintan-1x3            ..........(1)Using formula - tan-1(a) =…

Q: Verify that each equation is an identity. Sin 2A cos 2A = sin 2A - 4sin^3 A cos A

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Q: Write each expression as an equivalent algebraic expression involving only x. (Assume xis positive.)…

A: Our Aim is to write the expresion  as an equivalent algebraic expression.where expression is tan…

Q: Write each expression as a single trigonometric function.   sin 8x cos 7x - cos 8x sin 7x

A: According to the trigonometric formula: sin (A-B)=sin A cos B-cos Asin B

Q: Simplify each expression.

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Q: Rewrite 10 sin(5x) cos(3x) as a sum or difference, then simplify.

A: Here we have to rewrite 10sin(5x)cos(3x) as a sum or difference.

Q: Write each trigonometric expression in terms of a single Trigonometric function. 2 tan 3a 1- tan2 3a

A: Consider  2tan(3x)1-tan2(3x)

Q: 23n sin 12

A: The solution as follows :