1) Find the exact value of each expression. a. tan-1(-1) b. sin-1

Q: 11. Use a sum or difference formula to find the exact value of sin 105°.

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Q: Find the exact value of the expression. tan(sin−1(12/13))

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Q: 5) Find the exact value of tan () using the given figure. 15

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Q: 1) Find the exact value of each trigonometric expressions. (sin (-) b) cse (sin- (-)) a) cos-1

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Q: Find the exact value of each expression.   a)  arctan 1     b) Sin-1(1/√2)

A: Concept: Calculus involves the study of rate of change, which is used to calculate the objects which…

Q: Find the exact value of each expression. sin( 2 sin-1 3/5)

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Q: 4 and 90° <0 < 180°. Suppose that sin0 = Find the exact values of sin and tan

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Q: 10. If cose = /3 sin 0 then the exact value of tan 20 is: A. -V3 В. 23 1 С. D. 3

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Q: 11. Find the exact value of each expression. a) sin-1 () 2 b)sin(tan-(-V3)

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Q: find the exact value of each expression.

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

Q: Find the exact value of each expression. (a) arctan (1) (b) sin-' (1)

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Q: Find the exact value of each expression given in attachment.

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Q: Find the exact value of each expression.

A: Given :                The trigonometric expression is…

Q: 8. Find the exact value of each expression. 3V34 tan cos 34

A: Solved below

Q: 1. Calculate each value, and draw a version of the Most Important Diagram that demonstrates your…

A: As per the instruction, we are answering only the first 3 subparts. For (a), arccos-12=2π3 Note:

Q: 10. Find the exact value of each expression, if it is defined. (a) tan1 (b) сos (c) tan (tan 37) (d)…

A: arctan1=π4  Decimal:0.78539…Degrees:45∘

Q: Find the exact value of the expression. Not a decimal.   cos^-1 (sin 7Pi/6)

A:

Q: Find the exact value of each expression.   a)  sin-1(√3/2)     b) cos-1(-1)

A: sin-1(32)=π3sin-1(32)=60°

Q: Find the exact value of each expression.

A: We have to find the exact value of the following expression -  tansin-145 + cos-11

Q: 4. Find the exact value of each of the following. (a) sin 405° (b) tan( –150°) (c) sec 3 (d) csc 2

A: We know that,  sin2nπ+θ=sinθ; n∈I                  ⋯⋯1tan-θ=-tanθ…

Q: 4. Determine the exact value of Sin 120*

A: As we know from the trigonometric identity; sin90+θ=cosθ   The given expression is: sin120°

Q: Find sin(2a), cos(2a), and tan(2a).

A: Here we have,

Q: Find the exact value of each expression. a. arctan (tan 4? 3 ) b. tan (tan−1 4 5 ) c. tan (tan−1 7 6…

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Q: Find the exact value of each expression. sin 1 (a) 2 cos(-) (b) COS 2 tan (1) (c)

A: we know that Range  of sine inverse function is[-pi/2,pi/2]. sin(pi/3)=sqrt3/2 and value of sine…

Q: Find the exact value of the expression. tan(an- (금)) tan( sin-1 25

A: Given  To find the exact value of the expression  tansin-1725 Let  θ=sin-1725sinθ=725 Using…

Q: 9) Use half-angle identity to find the exact a Value of tan 45°

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Q: 2) Use a calculator to find the value of each expression rounded to tow decimal places. a. cos-1 0.6…

A: To find the value of  cos-1(0.6)  and  tan-1(-3.27) to two decimal places.

Q: Find the exact value of the expression tan (π/6 + π/4).

A: Given, tanπ6+π4

Q: 1) Find the exact value of each expression. a. tan-1(-1) 3. b. sin-1

A: Use the inverse trigonometric identities and simplify the all expression.

Q: Calculate the following. а. sin-1 cos"" (-) c. tan-(1)

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Q: 6. Determine the exact value for each of the following, a) tan 45° b) sin 300°

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Q: Let sin θ = −5/13, and cos θ = −12/13, and find the indicated value.   tan θ =

A: Given Sin θ = -513  and Cos θ = -1213We find tan θ .

Q: (ii) Hence, without using a calculator, find the value of tan(22.5°

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Q: 13 12

A: To find tan(θ) for the given right triangle

Q: Find the exact value of the following expression. 13 sin

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Q: 18) Use the identity to find the exact value sin 135 -30

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Q: 5. Find the exact value of each expression. a. arctan (tan- 3 b. tan (tan1) c. tan (tan-+ tan-15

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Q: Determine the exact value of the following, show all calculations: Each. tan - 3 b. csc 5n 11л sin…

A: We have to find the value of given trigonometric function

Q: 7. Write an algebraic expression that is equivalent to the expression: tan( arccOS

A: We have to write an algebraic expression that is equivalent to the expression…

Q: Find the exact value of each expression.   a)  tan(arctan 10)   b) Sin-1(Sin(7π/3))

A: a) Given expression tantan-110 The value of tangent function is in the interval -π2,π2 Therefore,…

Q: Find all possible values of each expression in radians and degrees. V3 9. -1 cos 10. sin V3 11. tan…

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Q: Assume that 0≤?≤?/2. Find the values of sin(?)sin⁡(θ) and tan(?)tan⁡(θ) if cos(?)=40/41

A: Topic:- trigonometry ratios

Q: Suppose that sin a = and t <a < 13 Find the exact values of sin and tan 2. 2.

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Q: If sin e- and 0 ses-, find the exact value of tan 20. 24 24 7. 314

A: Given that the angle is in the first quadrant. Hence, all the trigonometric functions will be…

Q: 3. Find exact value of each expression: given tanB = -2/5, 3r/2 <B< 2n (a) cos 2B, (b) sin 2B

A: We have to solve the angle

Q: 4. Use a half-angle identity to find the exact value of each expression. a. sin (165°) b. tan 157.5°…

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Q: Find the exact answers. 39. sin(tan

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Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.