ladder is leaning against the side of a house. If the ladder is 26 ft. Long and cos A = ¼. How far is the foot of the ladder from the house?

Q: 2 sin? 0 = 1 – cos 0

A: given2sin2θ=1-cosθwe know trigonometric identitysin2θ+cos2θ=1sin2θ=1-cos2θtherefore equation…

Q: If sec ? = 16 , find sin ?. (This should be an exact answer, not a decimal approximation.)

A:

Q: If cos a = 0.154 and sin B = 0.273 with both angles' terminal rays in Quadrant-I, find the values of…

A:

Q: In triangle ABC, A = 30 degree, b =20 ft, and a =2 ft. Show that it is impossible to solvethis…

A: The law of sines: asin A = bsin B = csin C

Q: a. sin (30 +72)' = cos 48°

A:

Q: 5) cos A A 16 34 C 30

A: given AB = 30 BC = 16 AC = 34

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A:

Q: In AABC, ZC = 90°, and a = 19.8 cm, b = 14.5 cm, and c = = 24.5 cm. %3D What is the value of sin A,…

A:

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. sin 6° (a) 1 + cos…

A:

Q: From a point on the ground 47 feet from the foot of a tree, the angle to the top of the tree is 35…

A: The following diagram depicts the situation, Here AB represents the tree and C is the location of…

Q: The value of ( cos 30 sin 60 de is 4

A:

Q: In the diagram of the right triangle ADE below, BE || DE. Which ratio is always equivalent to the…

A: Solution

Q: If A = 32 degree, B = 70 degree , and a = 3.8 inches, use the law of sines to find b.

A:

Q: Use the half-angle formula to simplify the given expression. 1 + cos 12x 2

A: The given expression is:1+cos12x2We need to simplify the above expression using half-angle formula.

Q: In a right triangle, the side opposite angle β has a length of 16.4 cm. The hypotenuse of the…

A: Given that: Side opposite to angle β, p=16.4 cmHypotenus of triangle, h = 25.1 cm

Q: In right triangle ABC, m/B + mZC . Let sin B = r and cos B = s. B A Which expression represents the…

A:

Q: In right triangle ABC, m/B t m/C Let sin B rand cos B = s C COS Which expression represents the…

A:

Q: If cos7A = sin(A-60) where 7A is an acute angle , Find the value of A

A:

Q: A wheel is rotating at 7 radians/sec, and the wheel has a 61-inch diameter. To the nearest foot,…

A: Explained below

Q: For the right triangle shown, express each ratio as a fraction in lowest terms: 10 a) cos B b) sin a

A: Consider the given right triangle in the figure, The cosine ratio can be expressed as the ratio of…

Q: For the right triangle shown, express each ratio as a fraction in lowest terms: 10 a) cos B b) sin a…

A: We have the given figure as We have to express each ratio as a fraction a) cosβ b) sinα

Q: In the right triangle ABC, the length of side a = 5 and the length of side b = 3. Find: sin b, tan a…

A: Given,           In the right triangle ABC, the length of side a=5 and the length of side b=3.

Q: In triangle ABC, A = 40 degree , b = 19 ft, and a =18 ft. Use the law of sines to find sin Band then…

A: Given in ∆ABC,  ∠A = 40° , a = 18ft b = 19ft, ∠B = ?

Q: Given that cos⁡θ=0.754 , what is the measure of θ ? Round your answer to the nearest tenth

A: Given, cosθ = 0.754  We have to find the θ.

Q: 1 - cos(40) 2

A: We have to simplify the expression  1 - cos4θ2.

Q: In the given figure, what is the length of the hypotenuse? A. 8 B. 15 C. 17 D.32 In the triangle on…

A: You must have idea about Right Angle Triangle and basics of trigonometric in order to understand it.

Q: You are given that cos(A) Quadrant II, and sin(B) = - with B in Quadrant III. Find sin(A + B). Give…

A:

Q: for angle A it is known that cos (A) < 0 and csc (A) = 10.  If A is drawn in standard position, in…

A:

Q: Consider the right triangle below. What is the ratio of cos(H)?

A: I think it is cos(B) In the given right angle triangle ABC cos(B)=adjacent side/hypotenuse

Q: Answer the following questions. a. Write an expression that represents Kristin's height above the…

A: Here we solve the given problem.

Q: Find an angle θθwith 0∘< θ < 360∘that has the same: Sine as 40∘: θ = ___ degrees Cosine as 40∘: θ…

A: We need to find the same angle between 00&lt;θ&lt;3600.

Q: the question listed that sine of theta is equal to 5/9, and it it wanted to know, between 0 degrees…

A: Given that sin theta = 5/9.

Q: You are given that sin(A) = , with A in Quadrant I, and sin(B) with B in Quadrant IV. Find sin(A –…

A:

Q: If Jon needs to find the value of cos P in PQR, which of the following ratios should he use?

A: Cos p = adjacent hypotenuse            = PQPR

Q: Use a calculator to find ? to the nearest tenth of a degree, if 0° < ? < 360° and cos( ?)=-0.7620…

A: Given: cos( x )=-0.7620 0° &lt; x &lt; 360°

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

A: Given: cosβ=ac

Q: If you wanted to use the half angle formula to find the exact answer for cos 22. 5, what would you…

A:

Q: Solve the triangle. а%3D 10, b%3D 9, с%3D2 (Round to the nearest degree as needed.)

A: We use cosine law to find unknown angles

Q: in a right triangle cos(b)=1/2, what is the value of sin(a)

A:

Q: Given A =25 degrees , B = 32 degrees, and c = 15 , use the Law Of Sines to solve the triangle for…

A: topic - law of sines

Q: In a right triangle, sin(β) = 0.292. If the hypotenuse of the triangle has a length of 17.5 cm, what…

A:

Q: A wheel is rotating at 5 radians/sec, and the wheel has a 83-inch diameter. To the nearest foot,…

A: Given that the diameter= 83 inch  so, radius=r=832=41.5 inch Given angular velocity=ω= 5 radians/sec…

Q: You are given that sin(A) = , with A in Quadrant I, and cos(B) = -, with B in Quadrant III. Find 5'…

A: We have, sin(A) = 35 ; A is in quadrant I cos(B) = -725 ; B is in quadrant III To evaluate : The…

Q: Angle θ is in Quadrant II, and sin θ = 45. What is the value of cos θ?

A:

Q: With respect to the given angle of a right triangle, what is the ratio of the opposite side to the…

A:

Q: If the terminal side of angle 0 goes through the point (, v) V5 2V5 5 on the unit circle, then what…

A: The terminal side of an anglegoes through the pointon the unit circle. If (x, y) is a point on the…

Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest tenth of a degree…

A: Topic- Inequalities

Q: In right triangle ABC, m/B mZC. Let sin B = r and cos B = s. C Which expression represents the value…

A:

Q: How many radians are contained in the smaller angle between the hands of a clock at 4PM?

A: we have to tell how many radians are contained in the smaller angle between the hands of a clock at…

Q: Find the area of the triangle. Round each answer to the nearest tenth. 40 219 28 Dvid

A:

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.