Let θ be an angle such that tanθ = 4/3 and cosθ<0. Find the exact values of : a) secθ b) cscθ .

Q: If v x w = (-1, 4, 0) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

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Q: A right triangle has side lengths d, e, and fas shown below. Use these lengths to find sin x, tan x,…

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Q: Find the values of cos t and sin t, where t is the radian measure of the angle shown.

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Q: Consider the angle B on a standard coordinate plane such that: csc(8) = - 7 sec(8) < 0 Determine the…

A: Topic :- trigonometry

Q: Use the information given about the angle 0, 00 (a) sin (20) (b) cos (20) (c) sin (d) cos (e) tan…

A: Trigonometric Function:        Trigonometric function are real functions which relate an angle of…

Q: Use reference angles to find sin 0, cos 0, tan 0, csc 0, sec 0, and cot 0 for each given angle 6.…

A: Given: θ=-135° To determine: The value of sinθ, cosθ, tanθ, cscθ, secθ, and cotθ by using reference…

Q: Let θ be an angle in standard position. Name the quadrant, tan θ &gt; 0 and cos θ &lt; 0, in which θ…

A: That is, Tangent function is positive and cosine function is negative.

Q: Given that sin 0= and 0 is an acute angle, find the value of cot 0+ cos e.

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Q: Express trigonometric ratio of the following angle in exact form sin 120o

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Q: If the angle e is in standard position and P(x, y) is a point on the terminal side of 0, and ris the…

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Q: Draw an angle with a measure of theta that satisfies both conditions, a) cos theta is negative b)…

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Q: If the angle O is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

A: Topic - trigonometry

Q: Use a calculator to approximate the degree measure (to 1 decimal place) of the angle 0 subject to…

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Q: To answer the following. Explain why there is no angle theta such that sec theta = 1/2.

A: Given that secθ=12

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: If sin =VA – VB, then, by using a half-angle formula, find

A: Here, the given expression is: sinπ12=12A-B

Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that b…

A: From the given figure, let the perpendicular from point B meets the side AC at D.

Q: If a is a quadrant one angle such that sin a = , and B is a quadrant three angle such that 7.…

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Q: CoS * and sin o-

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Q: . Given: PA and PB are tangents to 0. Use the diagram at the right to explain how the corollary on…

A: Given: PA  and  PB are tangents to O   From the above diagram:   a)  ∠P  and  ∠O  are  the two pairs…

Q: Let a be angle such that cos a = -- and sin a > 0. What is the exact value of sin a?

A: Only 2nd quadrant is the only region where cosα is -ve and sinα is +ve

Q: The standard formula for the tangent of the sum of two angles is tan(A + B) = (tanA+tanB)/tanAtanB)…

A: Using the identity:

Q: Use the information given about the angle θ,0 ≤ θ &lt;2π, to find the exact value of (a) sin( 2θ )…

A: If an angle lies in the first quadrant then all trigonometric functions of that angle are…

Q: Identify the cos >0, sec 0 >0 quadrant(s) of an angle that satisfies the given conditions.

A: Given cos θ&gt;0,  sec θ&gt;0     The figure (CAST diagram) below indicates the quadrants…

Q: According to the Pythagorean identities, sin t + cost = 1+ cot? t = ,1 + tan² t = and

A: Given: sin2t+cos2t=_______1+tan2t=________1+cot2t=__________

Q: c. cos x for 0 <x S T 2 COS X = --

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Q: Suppose Ø is an angle such that •<ØLI and tan o- . what is sinø? hat is cosø?

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Q: COS Cos e and tan tan D = 2/2 %3D

A: A unit circle used to verify trigonometric ratios is constructed as follows:- The ratios from the…

Q: Which of the following degree angle measures is equivalent to sin -1 (-0.331) ?

A: To determine: angle in degrees, equivalent to sin -1 (-0.331)

Q: If v x w = (2, -2,5) and v · w = 4, find tan(0), where 0 is the angle between v and w. tan(0) =

A: Topic- Dot and Cross product of Vectors

Q: Which of the 3 trigonometry functions has the largest value when evaluating angle A? (sin A,cos A ,…

A: Explanation of the answer is as follows

Q: If sin 15° = vA – VB, then, by using a half-angle formula, find

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Q: A right triangle has side lengths d, e, and f as shown below. Use these lengths to find tan x, cos…

A: To find - tan x , sin x &amp; cos x

Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: Use quadrant to solve this trigonometric problem

Q: Use the information given about the angle, 0 < 0 < 2r, to find the exact value of: tan 0 = } ; n< 0<…

A: Given: tanθ=12; π&lt;θ&lt;3π2

Q: Identify the quadrant in which the terminal side of the angle must lie under the following…

A: sinθ&gt;0,  tanθ&lt;0

Q: For an angle <0 < T, f ind 0 for sin( ) + csc( ) + cos ( ) = 3

A: It is trigonometric value.

Q: Given AHJK and ARST, what is tan(T)?

A: Given,          ∆HJK and ∆RST are shown below :

Q: A is If Sin A = Hhe In the third avuaJantdetermine exact value of tan A. an angle the

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Q: If tan a=7/2 then which of the following is closest to the measure of angle a?

A: Given: tan a=72⇒a=tan-172        ≈74°054'

Q: What’s the smallest positive degree angle measure equivalent to sin^-1(0.391)?

A: sin^-1(0.391) = 0.4017

Q: Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation.

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Q: If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a…

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Q: Use a coterminal angle to find the exact value of the exgression. De nt sin 750° O 2 O 23 3. 1/2

A: Given:   sin(750°)writing 750°=2×360°+30° sin(750°)= sin(2×360°+30°)we know that 360°=2πThen…

Q: If tan VA – B, then, by using a half-angle formula, find A = B = %3D

A: Here there are two terms at the numerator so using  this formula   where, α=π4

Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that

A: The triangle ABC is  We have to prove   ,where  the length h of the perpendicular from point B to…

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

A: Consider the given information. Redraw the triangle.   Here for the angle M, the base is 2,…

Q: Use a calculator, in degrees, to find an approximate angle for each expression, rounded to two…

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Q: Given that sin(θ)>0 and cot(θ)>0, in which quadrant does θ lie

A: Using trigonometric ratios quadrants