In Exercises 19-30, use a calculator to find the value of each expression rounded to two decimal places. 19. sin 0.3 21. sin (-0.32) 20. sin 0.47 22. sin (-0.625) 23. cos-2 8 24. cos1 9 V5 25. cos 7 26. cos 10 27. tan(-20) 28. tan(-30) 29. tan- (-V473) 30. tan (-V5061)

Q: 8 Verify the iclantity (sin @ +are) = / + Sin2

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Q: 29. Show that sin x rif0<1 <2m.

A: Given a function sin x and 0&lt;x&lt;2π To show sin x&lt;x for all values of x such that…

Q: Is sin-1 x the same thing as1/sin x?

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Q: Find the exact value of expression.

A: The given expression is 2sinπ3-3tanπ6. Simplify as follows.

Q: - sin ( 7 ) 2 What is the exact value of

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Q: Verify the identity. cos3 x sin2 x = (sin2 x − sin4 x)cos x

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Q: I'm working on exercise 30, 5.2, page 587, find the exact value for the expression under the given…

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Q: 8. cos x+- +sin x- 3 6.

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Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin (-)= %3D b. tan-(-V3) =…

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Q: In Exercises 85-96, use a calculator to solve each equation, correct to four decimal places, on the…

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Q: In Exercises 43–48, find the exact value of each expression. Do not use a calculator. tan 3 1 43.…

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Q: In Exercises 31–46, find the exact value of each expression, if possible. Do not use a calculator.…

A: Solution:Given31. sin (sin-10.9)32. cos(cos-10.57)33.sin-1sinπ3Formula:sin(sin-1x)=xcos(cos-1x)=x

Q: 3 Assume that sin (x) = and sin (y) = -, where < y < 2x. Calculate the indicated function value. <x…

A: We can find sin(x-y) as below.

Q: 8, tan (tan 9.

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Q: 15. Simplify the expression. tan(sin¬'x) b. sin(tan-'x) а.

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Q: 1. Express each as a single trig ratio. a) Gos 20a cos 5a- sin 2 Oasin 5a b) sin 95° cos 45°- cos…

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Q: For Exercises 37-40, verify that the equation is an identity. (See Example 4) 37. sin(-x) + cscx =…

A: To verify:sin(-x)+cscx=cotxcosx Solution: Considering, LHS sin(-x)+cscx On simplifying further we…

Q: Be sure that you've familiarized yourself with the first set of formulas presented in this section…

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

Q: Show (without using a calculator) that sin π/7 cos 4π/21 + cos π/7 sin 4π/21 =√3/2 .

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Q: 2. Find the exact value of the expression. tan(10⁰) + tan (20⁰) 1-tan(10°) tan (20⁰)

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Q: sin 25° tan 65° tan 25° cos 65° -

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Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: For Exercises 47-52, verify that the equation is an identity. (See Example 6) sine cos 0 47. csc 0 -…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: Suppose that π≤θ≤3π/2, tan(θ)=6/12, find sin(θ)=______. (round to 3 decimal places)

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Q: compute without using a calculator.

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Q: Evaluate without using a calculator.        tan ( sin  -1   3/5)

A: We have to evaluate the expression: tan sin-1 35 Assuming, θ=sin1 35⇐sin θ=35 So after assumption…

Q: In Exercises 160–162, solve each equation on the interval [0, 27). Do not use a calculator. 160. 2…

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Q: tan 30 + 2S in Go +Cos 30 -tan 60 4.

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Q: Find the exact function values for sin(2?) , cos(2?) ??? tan(2?) when cos(?) = −√5/5 ??? sin(?) > 0.

A: cosx=-55, sinx&gt;0 By using the identity sin2x+cos2x=1, we get…

Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: cos [ tan-1 (4/3) + cos-1 (5/13)]

A: First we change the tan-1 into cos-1 . Then we add the inner two cos-1

Q: Find the values in Exercises 9–11. 9. sin(cos-1(sqrt(2)/2)) 10. sec(cos-1( 1/2)). 11. tan(sin-1(-1/…

A: Find the value of

Q: Evaluate: lime 1-sin 8+cos 8 sin 20-cos 0

A: Given expression is, limθ→π21-sin θ+cos θsin 2θ-cos θ. The L'Hospital rule states that…

Q: 30. tan ( sin-1

A: Solving the problem by just doing the simplification of the function.

Q: 4. Find the exact value of sin if cose 2 3 and e is in QIII. cose =-- |

A: According to question,Given conditions,cos θ = -35,θ is in third quadrant.

Q: 7. tan (8x) sec (8r) da

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Q: 14. Simplify: 1 csc²x O sin x 01 O tan x O cos x + 1 sec²x

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Q: 1 Simplify each side of the equation independently to reach a common equivalent expression, sin x…

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Q: The solution to the equation sin 2x = - sin(-x) in the interval (0, 2x) includes 0, n O Option 1…

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Q: 60. Express tan t in terms of sin tif くt<2。 2

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Q: 4. Which expression equals 0? sin 50° tan 50° cos 50° O tan 50° – cot 50° tan 50° + sin 50° cos 50°…

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Q: Simplify 3 TT sin-(sinx) if TSXS 2 - -x- T ーX π-X x- π

A: Given, To solve  sin-1(sinx)  if π≤x≤3π2

Q: sin (tan' 8, zan-)= 0.35 O -0.35 O 0.40 O -0.40 O O O

A: Inverse Trigonometric ratios are just the opposite of Trigonometric ratios as Trigonometric ratios…

Q: Evaluate the expression tan2 1.4 - sec2 1.4, without using a calculator.

A: Given:tan21.4-sec21.4

Q: from the given information. tan(x) = 2,   0° < x < 90° sin x/2= cos x/2= tan x/2=

A: Given tan(x) = 2 So first find x ,   where 0° &lt; x &lt; 90°

Q: cosh(3i)is equal to O -cos3 O cosh 3 cos 3 O sin 3

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Q: 16) tan X 40 30 50 18) sin Z 50 30 40

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