If cos θ > 0 and tanθ < 0, explain how to find the quadrant in which θ lies.

Q: If tan 0 = O lies in Quadrant IV. Determine csc 0.

A:

Q: If θ is acute, the Half-angle Formula for the cosine functionis cos θ / 2 = ____

A: cos2θ=2cos2θ-1⇒2cos2x=1+cos2θ⇒cos2θ=1+cos2θ2⇒cosθ=1+cos2θ2⇒cosθ2=1+cosθ2

Q: Choose the function that could be used to find the measure of angle A. cos COs sin sin

A: in given triangle

Q: What is the relationship between the sine and cosine of complementary angles and why is it true?

A: The sine of any acute angle is equal to the cosine of its complement.The cosine of any acute angle…

Q: Complete the double angle formulas for sine, cosine, and tangent: sin(2x) = %3D cos(2a) tan(2z) =…

A: We need to evaluate the following expression sin2xcos2xtan2x

Q: Use a half-angle formula to find the exact value of the expression sin 15°.

A: Consider the following formula:…

Q: Find the exact value of the expression whenever it is defined.sin (arcsin 1/2 + arccos 0)

A: Our Aim is to find the exact value of the expression given below:-sin sin-112+cos-10-(i)

Q: if cot theta =3 and cos theta &lt; 0, find sin theta

A: Given:

Q: Let 0 be an angle such that cos(0) Find sin(0) and tan(0). 2

A:

Q: Determine the exact coordinate of a point at a distance of 4 units from the origin in the second…

A:

Q: Find the value of the angle of tan(cos-(x))

A: tan(cos-1(x)) Let cos-1(x) =  θ         .....................(1)    =&gt;     x = cos θ    =&gt;…

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

A:

Q: Given that cosą = - 12 and A is in the second quadrant, find this function. sece=

A: Given, cosθ=-1213

Q: The expression sin(arccos )

A:

Q: What is the trigonometric function for sin 30 degree?

A: sin 30 degree is itself a trigonometric function.Sine means opposite / hypotenuse.

Q: In which quadrant will 0 lie if cos 0 < 0 and sin 0 < 0?

A: Explanation of the answer is as follows

Q: The difference between two angles, how is the result of the same trigonometric function

A:

Q: Determine the quadrant in which θ lies.…

A: (a)Givensin θ&gt;0 and cos θ&lt;0θ lies in quadrant II  (SECOND)

Q: Determine the quadrant in which the terminal side of 0 lies. (a) cos 0 > 0 and sin 0 > 0 (Choose…

A:

Q: if csc theta = 4/3 and sec theta &gt; 0, find tan theta

A: Given, csc(θ) = 4/3 ∴ sin(θ) = 1/csc(θ) = 3/4 Now,  cos2(θ) + sin2(θ) = 1 =&gt; cos(θ) =…

Q: Use half-angle formulas to find exact values for the following. sin (15°) -

A:

Q: Find sina.cosa, tan a,csca,seca, and cota cos(2a)= % and 0< 2a <90°

A:

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

A: tan θ&gt;0 and cos θ&lt;0

Q: If tan (x) is multi valued what quadrant will it be in

A: According to question multiple-valued function is a "function" that assumes two or more distinct…

Q: Complete the double angle formulas for sine, cosine, and tangent: sin(2x) || cos(2x) tan(2x) : ||

A:

Q: If sin x tan x > 0, find the other 5 trigonometric functions. %3D 13

A: A detailed solution is given below

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at ( 16 ,y). What are…

A: Trigonometry Question

Q: Please find the exact value of cos 165 degrees

A: Find the value of cos(165°).

Q: If tan 0 > 0 and cos 0 < 0, what Quadrant is Point (0) or P(0) located?

A: Given that tanθ&gt;0  and  cosθ&lt;0

Q: What is the exact value of tan if sin(v) = -, where cot(v) >0? 1 A 2 1 B -2 D 3

A:

Q: Find all the angles [0, 27) that satisfy the equation sin(2x) = tan(x).

A: We know that ,  sin ( 2 x ) = 2sin ( x ) cos ( x )  and tan ( x ) = sin ( x ) / cos ( x )

Q: If cos θ &gt; 0 and tan θ &lt; 0, explain how to find the quadrant in which θ lies.

A:

Q: If y = cos -1 x, then y can terminate in quadrant ____ or ____.

A: All of the inverse functions use the first quadrant for positive values of x. Inverse of cosine…

Q: If you know the sine value for a given angle, how can you quickly find the cosecant value for that…

A: See attached file for a detailed explanation and I also give an example so you can easily…

Q: As In Previous Question, Refer to a right triangle as shown. Two angles, 0 and o, are labeled. Sine…

A:

Q: what quadrant is tan/theta=3 and sec/theta<0 in?

A: Explanation of the answer is as follows

Q: Find the exact circular function value for sin 3

A:

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at (, y). What are the…

A: Draw the unit circle using the given information For the unit circle the radius r=1

Q: Determine the quadrant containing angle 0 if tan 0 < 0 and sec 0 < 0.

A: Given: Iftanθ&lt;0 and secθ&lt;0 We have to find which quadrant θ contained

Q: For the point (4,3) find tan theta and cot theta

A:

Q: What is the relationship between cosine and sine in relation to complementary angles?

A: Since the ratios sine of an angle and cosine of an is complementary ratios.

Q: If cos(@) and 0 is in the 1st quadrant, find sin(0) %3D sin(@) = %3D

A: In first quadrant all the trigonometric ratios are positive. Therefore sine is also positive.

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at x = . What are the…

A: Trigonometric functions on the unit circle: If a point (x, y) is on the terminal side of an angle θ,…

Q: cos Sin?

A: Q5.  Y=cos2x/2 - sin2x/2

Q: The terminal side of angleintersects the unit circle at point (- 0.970, - 0.242) . What is the value…

A:

Q: If sin0 &lt; 0 and tan0 &lt;0, which quadrant is 0?

A: The signs of the 3 basic trigonometric functions in 4 quadrants are as follows.

Q: Simplify tan θ cos θ sin θ to a single trigonometric function

A: Consider the trigonometric ratio for tangent is, tanθ=sinθcosθ

Q: What is the relationship between sin(90∘) and sin(−90∘)?

A:

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.