If t is the distance from (1, 0) to (0.5403, 0.8415) along the circumference of the unitcircle, find sin t, cos t, and tan t.

Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a four-decimal approximation.…

A: In the given triangle ∆MLK, ∠k=90° thus KL is the height of the triangle,MK is the base and ML is…

Q: Given that 3 tan 4x = 1-4 sec 4x, the largest value of æ, for () < x < T, is PT radians, where p =

A: The given trigonometric equation is  3tan24x = 1 - 4sec4x

Q: If t is the distance from (1, 0) to (0.5403, 0.8415) along the circumference of the unit circle,…

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Q: Given that sin t = 1/2 and 0 ≤ t &lt; π/ 2, find the value of cos t using a trigonometric identity.

A: Given

Q: Use trigonometric substitution to evaluate the following dx +16

A: The following trigonometric identity is useful, while evaluating the given integral. 1+tan2θ=sec2θ

Q: . Express tan t in terms of sin t, if the terminal point determined by t is in Quadrant II

A: It is given that the terminal point determined by t is in the 2nd quadrant of the coordinate system.…

Q: The period of y = cos x is units. 4 7I

A: We can find the period as below

Q: Let P(t) = (x,y) be the terminal point on the unit circle that corresponds to the real number t.…

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Q: Use a ratio identity to find tan 0 given the following values. 4V 17 V17 and cos 0 = 17 sin 0 = 17…

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Q: Use the given information to find ​(a) sin(s+t)​, ​(b) tan(s+t)​, and ​(c) the quadrant of s+t. cos…

A: Here the values of cos s, sint, are given. So using Pythagoras theorem we could find the third side…

Q: If sin t = 2√7/7, 0 ≤ t &lt;π/2, use identities to find the remaining trigonometric functions.

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Q: 2. Write sin(t) in terms of cos(t) for t when t lives in quadrant III

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Q: Find sin t and cos t for the given value of t. t = 600°

A: We use ASTC rule for trigonometric ratios.

Q: If cos t = and t is in the 3rd quadrant, then sin t =

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Q: A right triangle has side lengths 8,15,17 as shown below. Use these lengths to find sinX, tanX, cosX

A: We have to find out the sin cos and tan angle

Q: Use the unit circle to find all values of 0 between 0 and 27 for which tan 0 V3

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Q: Write the ratios for sin M, cos M, and tan M. 2. 3. 4. 25 M M. 7 K K 24 K M 2. 2.

A: Follow the steps.

Q: given that t=tan-1(4/3), find the exact value of sin(t)

A: It is given that, t=tan-1(4/3) or, tan(t)=4/3......(1)

Q: Express tan(t) in terms of sin(t), if the terminal point determined by t is in Quadrant IV.

A: Solution: Given tan(t) Let terminal point (x,-y) in the 4th quadrant.

Q: If t is the distance from (1, 0) to (4 square root 41/41, -5 square root 41/41) along the…

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Q: Define sin t, cos t, and tan t for an angle of measure t for any t.

A: Define sin t, cos t and tan t for an angle of measure t. Consider a right angle triangle with base…

Q: given cos(t) = 1/7 and t is in the 4th quadrant, find the values of all other trigonometric…

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Q: Find the exact value of sin t,cos t,and tan t if P=(-2,5) is the point on the circle that…

A: we have to find the exact value of sint ,cost and tant if P=(-2,5) is the point on the circle that…

Q: Given that sin t =1/2and 0 ≤ t &lt;π/2, find the value of cos t using a trigonometric identity.

A: sin t =12and0≤t≤π2i.e first quadrantIn 1st quadrant sin t, cos t arepositive

Q: Let P(x, y) be the terminal point on the unit circle determined by t. Then sin(t) = , cos(t) and…

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Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a four-decimal approximation.…

A: Values of sin cos and tan

Q: Express tan(t) in terms of sin(t), if the terminal point determined by t is in Quadrant II.

A: We know the trigonometric relation that,            tan(t) = sin(t)cos(t)

Q: If t is the distance from (1, 0) to (0.2675, 0.9636) along the circumference of the unit circle,…

A: GivenL(1,0)*0.2675,0.9636)

Q: If t is the distance from (1, 0) to  (0.5403, 0.8415)  along the circumference of the unit circle,…

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Q: Given cos(x) = 2 on the interval [0, 2π], what is the value of x?

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Q: For (a), how did cot y become tan y?

A: a). given  dydx=cotx cotydy= (cotx coty)dx1cotydy=cotx dx integrating on both sides we get…

Q: Find L(sin? at)

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Q: Find the exact value of sin t, cos t, and tan t if P = (- 2, 5) isthe point on the circle that…

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Q: According to the quotient identities, sin t/cos t =______ andcos t/sin t =______ .

A: according to the quotient identities  sin tcos t=tan t              (1)

Q: 3) Find sin(s+ t) given that cos s = with s in quadrant I, and sin t = - with t in quadrant IV. 2

A: We are solving the first question and for the next question post the question again and also mention…

Q: 21. tan 0 = – V3

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Q: Use the given information to find (a) sin(s + t) . (b) tan (s + t) , and (c) the quadrant of s + t .…

A: We use Pythagoras theorem and Trigonometry ratios

Q: Given that sin t = 3/5 and 0 ≤ t &lt; π/ 2, find the value of cos t using a trigonometric identity.

A: We have to find cos t using trigonometric identity where, sin t=35 and 0≤t&lt;π2 We know the…

Q: Given sin a = -, a is in QIIl and cos B = , Bis in QIV. Where is angle (a + B) located? O on the…

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Q: If t is the distance from (1,0) to (1/sqrt10, -3/sqrt10) along the circumference of the unit circle,…

A: Topic - circle and trigonometric ratio. The formula for arc length is L=rθ where, L is the length of…

Q: Use the trigonometric function f(t) cos (t + + 2 to answer the following questions.

A: Given:- f(t)=-cos(t+π/9)+2 To find:- phase shift of given trigonometry function

Q: Write the ratios for sin M, cos M, and tan M. 2. 3. 4. 25 M M. K K. 2V3 24 4V2 21 K

A: Trigonometry ratio's are          Sinθ=PHCosθ=BHTanθ=PB Where P is perpendicular, B is base and H is…

Q: Given that sin B= -y quadrant W, find tan 28. with g in

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Q: Set up a trigonometric ratio from ZD to solve for X. H. U 14

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Q: Write the ratios for sin M, cos M, and tan M. 2. 3. 4. 25 M M. 7 K K. 24 2 K M

A: The sine of angle M is, sinM=LKLM ......1 The cosine of angle M is, cosM=KMLM ......2 The tangent of…

Q: Find the following. (a) sin t (b) cos t (c) tan t (d) sec t

A: It is known that in a unit circle, x2+y2=1 where r=1. It is given that the y coordinate is 2425.…

Q: Suppose v is in the interval G,n), with tan v =-11 Find the exact expression for the indicated…

A: tan v=-11v=tan-1(-11)v=95.2°

Q: Given Insinx tu" () Cos x Find > (A) and (B) ay

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Q: If P(a, b) is on the unit circle whose arc léngth from the point (1, 0) is t, which of the following…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.