In a right triangle with acute angles of measures a and ß, cos B = %. Find the following values in terms of the lengths of sides a, b, and c: a) sin a b) sec ß

Q: If s denotes the length of the arc of a circle of radius r subtended by a central angle 0, find the…

A: We will find the value of length of an arc of circle.

Q: Given that csc ( θ ) < 0 and cot ( θ ) < 0, in which quadrant does θ lie?

A: Given that cosecθ &lt;0 And cot θ &lt;0

Q: The given trig ratios are congruent to what other trig ratios? W 1) cosW = 2) sinW = Y

A: From the given triangle we have: cos(W)=WXWY      and      sin(W)=XYWY

Q: In the triangle ABC, the altitude through A, the median Question 2 through B and the internal angle…

A:

Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a sin M =

A: The trigonometric ratios can be found by the formula sinA=opposite sidehypotenuesecosA=adacent…

Q: 1 , sketch a right triangle with acute angle 0, and find the other five 4 If cot 0 = rigonometric…

A:

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

A: To find - value of theta.

Q: In ANOP, the measure of ZP=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ZN to the…

A: The given figure is-

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

A:

Q: a 45° A B.

A:

Q: Sketch a triangle that has acute angle ?. than find ratios of tan theta squareroot 15 sin theta =…

A: Solution :

Q: Sketch a triangle that has acute angle ?. cot(?) = 3   sin(?) =       cos(?) =       tan(?) =…

A: Given: cot(θ)=3To find the other trigonometric ratios?

Q: Given a right triangle 4 ABC and sin A = t. What is tan(A)?

A:

Q: The hypotenuse, c, of right AABC is 11.7 cm long. Given 15 the trigonometric ratio sec A = for angle…

A: Given:  secA=153 We know that in the right angle triangle, secθ=HypotenuseBase

Q: VA – B, then, by using a half-angle formula, find 8 If tan A = В

A:

Q: In the image below, the arc length of DA is 8x, and the arc of EF is length 2x. If x=12, what is…

A:

Q: Find the angle 0 between v = cos 120°i+ sin 120°j and w= cos 135°i+ sin 135°j. If necessary, round…

A: Given, v=cos120∘i+sin 120∘jw=cos135∘i+sin135∘j We know that, cos…

Q: Find the remaining trigonometric ratios. cot(B) = 6, n < ß < 2n sin(B) cos(B) tan(B) sec(B) = csc(B)

A:

Q: Given right triangle ABC with a right angle at Cand m261", right triangle RST with right angle at…

A:

Q: snip

A: To Show: a formula for the altitude h from a vertex to the opposite side a of a triangle…

Q: In AMNO, the measure of ZO=90°, MN = 27 feet, and OM = 2 measure of ZM to the nearest degree. %3D 27…

A:

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: Given that sin(0) 0, in which quadrant does e lie?

A: Given : sinθ&lt;0 and cotθ&gt;0

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

A:

Q: 5) Write the trigonometric ratios for the following angles. * 25 cos(A) : %3D 24

A: Given,   Cos A=?

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: In the following right triangle, find sin A, cos A, tan A, and sin B, cos B, tan B. sin A = sin B…

A:

Q: Answer (a) through (d). Please show your work.

A:

Q: Given a right triangle 4 ABC and sin A t. What is tan(A)?

A: 1-sin2t = cos2t

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

A:

Q: Find the indicated trigonometric ratio for the following triangle: 205 m 84 m 187 m Given the…

A: The trigonometric ratio secant is described as Secϕ=HypotenuseBase Now here for the mentioned angle…

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

A: Here, we need to find sin M, cos M, and tan M for the following figure. Here,            sin M =…

Q: In a right triangle with acute angles of measures a and B, cos B = . Find the following values in…

A: The right angle triangle having acute angle measure α and β. cosβ=ac Now, draw the right angle…

Q: Given that ADEF is a right triangle and that ZE= 90° with sides DE = 3, DF = 5, and FE = 4, which…

A: The sine of an angle is given to be sin(∅) =(side opposite to angle ∅)/(hypotenuse of the right…

Q: Consider the angle 0 on a standard coordinate plane such that: cot(e) = 6; sec(e)<0, What is the…

A: Given, cotθ=6, secθ&lt;0tanθ=1cotθ=16

Q: In the given figure, determine the measure of arc BC if ZX = 52° . Express your answer in degrees.

A: 1. The measure of the arc mbc⏜ is equal to the angle subtended by the arc on the center.  2. The…

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

A: It is trigonometric value.

Q: Y T.

A: Topic:- geometry

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

A:

Q: Use the property that corresponding sides of similar triangles are proportional to complete the…

A: Given triangles are

Q: On a circle of radius 10 m, how long is an arc that subtends a cen-tral angle of (a) 4pai/5 radians?…

A: (a)Consider the circle of radius 10 m. and central angle subtended by arc on circle is 4π/5 radians.

Q: In the figure shown, triangle GHJ is similar to triangle PQR. 17 15 R G Based on this information,…

A: Here we have,  ∆GHJ≈∆PQR,  we have in ∆PQR;  PQ=17; PR=8; RQ=15

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: 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: Write the ratios for sin 6, cos @ and tan 0. 25 7 24

A:

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

A:

Q: Given that ADEF is a right triangle and that ZE = 90° , which trigonometric ratio would be equal to…

A: Topic = Trigonometric ratios

Q: In the triangle at the right, which ratio represents sin R?

A: