The terminal side of angle θθ in standard position lies on the line -6x + y = 0 . Find a point that lies on the line such that x < 0 and use it to find all six trig functions of θθ. a) point b) sinθθ c) cotθθ d) cosθ

Q: Denote by θ the smallest positive angle whose terminal side passes through P(-5,12). What is the…

A: Since θ in II quadrant, one can draw the triangle like the one shown above.    We…

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Given,

Q: Two observers are standing on shore 2 mile apart at points F and G and measure the angle to a…

A: Given, The distance between point F and point G = 1/2 mile

Q: An angle of measure 150° intersects the unit circle at point (-, Y). What is the exact value of…

A: To find the exact value of sin (150°) Since the point  -12,32 is passing through the point and its…

Q: Find the point on the terminal side of a 210 degree angle drawn in standard position whose distance…

A: Given:Measure of angle, θ=210 degreesDistance of point from origin, r = 2 units

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: We can find the value of y and z as below

Q: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

A: An airplane climbs at an angle of 44° with the ground. What is the distance it has traveled in the…

Q: A radio antenna, 20 ft high is located on top of a man-made platform.  A man situated on the ground…

A:

Q: Drag a pair of corresponding angles into the boxes and describe their relationship.

A: ∠PRQ and ∠SUT are congruent

Q: The bearing from point O to point P is the acute angle, measured in degrees, between ray OP and a…

A: The bearing from point O to point P is the acute angle, measured in degrees, between ray OP and a…

Q: 3. A 28 ft-long ladder leaning against a wall makes an angle of 70° with the ground Determine the…

A: Length of ladder = 28 ft Angle made by ladder on ground=70 degree Vertical height h=?

Q: Find all angles between 0 and 277 satisfying the condition cosx = Separate your answers with commas.

A:

Q: On one side of a paved path walk is a pedestal with a flagstaff on top of it. The pedestal is 2m in…

A:

Q: Find the angle of elevation from point C to point A.

A: Given, ∠A=58°, AB=6m,  ∠B= 90°

Q: The angle of elevation of point C from point B is 29 degrees; the angle of elevation from C from…

A: Use trigonometric ratio to find the required height.

Q: An airplane is flying at an altitude of 11,000 feet. The pilot wants to make a smooth final descent…

A: Given that, altitude = 11,000 feet angle of depression = 5 degree.

Q: A volleyball is hit when it is 4 ft above the groundand 12 ft from a 6-ft-high net. It leaves the…

A: Explanation: Firstly we will draw the diadram                                According to the…

Q: A 14-foot ladder leans against a wall so that the angle between the ground and the ladder is 33°.…

A: Length of Ladder is 14 foot  The angle between the ground and the ladder is 33 degrees. To find how…

Q: A hiker at the top of a 462-ft mountain measures the angle of depression from the top of a mountain…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=462 C=5 BC=x

Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1350 feet apart. As the…

A:

Q: Show that a formula for the altitude h from a vertex to theopposite side a of a triangle is

A: Given: h=asinB sinCsinA

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: В

A:

Q: 2. A 30 ft ladder leans against a building at an angle of 45 °. Compute the distance from the foot…

A:

Q: Find the angle 0 between and 37 such that sec(0) = – /2. -

A: We can solve the problem by finding the angle between the interval.

Q: How is the pythagorean theorem related to distance formula?

A: Consider the provided information, We know that the Pythagorean theorem is defined as, c2=a2+b2 So,…

Q: A plane at an elevation of 5.5 km, approaches the airport at an angle of depression of 30°. A 30°…

A:

Q: 2. Find the lengths of both circular arcs of the unit circle connecting the point (–V2/2, -V2/2) and…

A: I have given you detailed solution and also explained each and every step so that you can get it…

Q: Two circles whose radii are 12 cm and 16 cm, respectively, intersect each other. The angle between…

A: This question is based on application of Cosine rule.

Q: Find the angle, in degrees between 0 and 360° which intersects the unit circle at the point (--) V3…

A: To given point is in the third  quadrant. Refer to the figure below.…

Q: The characteristics of a triangle require that PR be between what two values?

A: Here we have to determine the characteristic of the triangle requires that PR be between what two…

Q: Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the…

A: Given two circles with radii are 12 and 16 inches Let r1= 12; r2= 16 Angle between the points of…

Q: A ladder rests against a vertical wall at a point 12ft. from the floor. The angle formed by the…

A:

Q: From one point A, the angle of elevation of the top of a tall building CD is 12°. From another point…

A:

Q: The two lines AC, AB intersect at point A at an angle of 45 degrees, and the arc shown in the…

A: Step:1 Given that  If assuming R a center we draw a circle around R then circle will touch line AB…

Q: Find the distance from the origin to the point (a, b).

A:

Q: Give the values of the six circular functions of the standard angle ?generated by an arc whose…

A: (1,0)

Q: Find the angle between 0 degree and 360 degree that is coterminal to given angle.    -110 degree

A: -110 degree.

Q: Drag the yellow dot until AC and DF are exactly parallel. Afterwards, use the protractor to measure…

A:

Q: Apply the Exterior Angle Theorem 40° (2x+ 20)° X3D

A: Solution: The objective is to find the value of x

Q: Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is. Round your answers to…

A: Given that a=ci+j and b=3i+4jand angle between these vector isπ6Solution:

Q: Give the values of the six circular functions of the standard angle 0 generated by an arc whose…

A: Since there are multiple questions posted, we will answer the question posted (2). If you want the…

Q: Find an angle between 0 and 2pai that is coterminal with the given angle. 10

A:

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: Let a = ci +j and b 8i + 6j. Find c so that the angle between a and b is Round your answers to four…

A:

Q: A building is locates at the end of a street that is inclined at angle of 8° with the horizontal. At…

A:

Q: 10) The 55-meter Leaning Tower of Pisa, leans at 5.5° off from the perpendicular. Assuming the angle…

A:

Q: A cell phone tower Is anchored by two cables on each slde for support. The cables stretch from the…

A: We can draw the following image: Let say the cable is distanced by 2x feet.

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.