Verify the following trigonometric identity. tan(2)csc(x) = sec(x)

Q: Find the exact value of the expression whenever it is defined.

A: We have the given trigonometric expressions as (a) sin-1sin-π2(b) cos-1cos0(c) tan-1tanπ4 As we know…

Q: Categorize the trigonometric functions as positive or negative. 41x tan g 17x COS 10 47x tan 36 13x…

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Q: Verify the Identity: sin(pi/2 +x)=cosx

A: Since, sina+b=sinacosb+cosasinb Then, LHS- sinπ2+x=sinπ2cosx+cosπ2sinx=cosx where a=π2,b=x

Q: Find the exact value of the expression whenever it is defined.

A: Given: Let y=cos 2 sin-1 45 To Find: Exact value of given expression

Q: Simplify the first trigonometric expression by writing the simplified form in terms of the second…

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Q: Evaluate the expression under the given conditions. 3 tan(20); cos(0) 2, 0 in Quadrant I

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Q: Differentiate the following inverse trigonometric functions : 1) y =-2 sin-1x 2) s (t) = - cos-1 t

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Q: Match the trigonometric expression cos2[(π/2) − x] /cos x with its simplified form. (a) csc x (b) −1…

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Q: 9. Solve the following trigonometric equation. C. 2 cos x tan x = 2 cos x а. 2 cos x — 1 3D 0

A: according to the guidelines of company only 3 parts would be answered in this question to get solved…

Q: Simplify the following trigonometric expression as much as possible. 1- cos x sin x sin x 1- cos x

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Q: Verify the identity.

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Q: Find the exact values of the remaining five trigonometric functions of θ satisfying the given…

A: The given value of cosine function is and is positive. Hence the angle lies in the second…

Q: 11. Evaluate the exact value of each of the following trig e> a) tan-(-V3) b) sec (sin" (-))

A: Answer and explanation is given below

Q: Evaluate the following so that no trigonometric functions remain: cos ( tan'

A: Consider the given trigonometric function. costan-11x The objective of the problem is to evaluate…

Q: Use the definitions of the trig functions in terms of sine and cosine, the Pythagorean identity, and…

A: 1csc(t)-1+1csc(t)+1Addingcsc(t)+1+csc(t)-1(csc(t)-1)(csc(t)+1)=2csc(t)csc2t-1=2csc tcot2t…

Q: 7) Find the exact function value If It exists. a) Sin-240° = %3D b) Sec 270° =

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Q: Va? – x²

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Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-22 -π2≤x≤π2 sin x=-22 multiply and divide by 12 sin x =12  sin x = π4 sin-1-22=π4

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: Find a possible formula for the trigonometric function whose values are in the following table. 0. 3…

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Q: Find the exact value of the following expression. sin-'(1)

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

A: sinθ+cosθcosθ=1+tanθwe have to prove left hand side equals to right hand side so there are two…

Q: Verify the following trig identity: tan x 1 + sec x + 1 + sec x tan x = 2 csc x

A: Given that, the trigonometry identity is tanx1+secx+1+secxtanx=2cscx. Choose the…

Q: Prove the following trigonometric equation. (1+tan? z) Csc 2x 2 tan r

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Q: Find the exact value of the expression whenever it is defined.

A: To find the exact value of the expressions.

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

A: Given data 1+sin2θ=sinθ+cosθ2

Q: Find the algebraic expression for the following trigonometric expression tan(arccos 2x + arctan x²)

A: Give expression is tanarccos2x+arctanx2 We have to find the algebraic expression from…

Q: b. In cot(x)- In | tan(x)| = 2 1n| cot(x)|

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Q: Simplify the expressions below. (a) tan(cos−1 x)     (b) sin(tan−1 x)

A: (a)

Q: 2 sin x cos X tan(2x) = %3D 2 cos? x - 1

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Q: 10. Find the exact value of the composition. cos sin

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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: Simplify by expressing the following trigonometric expressions in terms of sine and cosine…

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Q: If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and x/2, evaluate the expression using…

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Q: Evaluate the following inverse trigonometric function by using the sum or difference identities. sin…

A: Given :     sin  sin-123+cos-1-12

Q: Find the exact value, if any, of the following composite function. 1 sin sin 7

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Q: Verify the identity shown below. cos e sec e – sin 0 tan 0

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Q: Evaluate the following trigonometric functions exactly if they are defined. Otherwise, write…

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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: (1 + sinx)? + cos²x = 2 1+ sin x

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Q: Verify the identity sec x tan? Y cot x %|

A: In this question we will use basic of trigonometry i.e use of trigonometric ratios and trigonometric…

Q: Evaluate the exact value of x²– 16 tan cos

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Q: Write the trigonometric expression as a simplified algebraic expression.

A: The given expression is

Q: Find the exact value of the following expression.   Sin-1(-1)

A: The domain of the inverse trigonometric function y=sin-1x  is -1,1 and the range is -π2,π2.

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

A: Given,

Q: Verify that the following trigonometric equation is an identity. 2 0 sin2 0 =tan? 0+cos? 0-1 tan

A: Here we have to verify that the given trigonometric equation is an identity.  tan2θ sin2θ = tan2θ +…

Q: Rewrite the following trigonometric expression as an algebraic expression. (a) sin(tan^−1(x)) (b)…

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Q: Differentiate the following inverse trigonometric functions : 1) y -2 sin-1x 2) s (t) =-cos-1 t

A: We will ise tha fact that  Derivative of sin-1(x) is 1/√(1-x2) and that of cos-1(x)=-1/√(1-x2). And…

Q: tan? A-sin? A sec? A–1 Prove the identity sin A:

A: Explanation: Given that,                  We take Right Hand Side(RHS) and simplify…

Q: 4. Write an equivalent expression for sin*(x) that does not contain powers of trigonometric…

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