Why sine of any angle in the first quadrant is positive and give an example

Q: Statement is true or false      The sine of the sum of two angles equals the sum of the sines of…

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Q: A movie theater has a 27-foot-high screen located 9 feet above your eye level. If you sit x feet…

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Q: All you have to do is to give what is being asked. Enjoy answering Trigo-Identities! 1. Prove the…

A: The even-odd identity of sine function is sin(-x) =- sin xangle sum…

Q: Example of application worded problem of sum and difference identities of sine and cosine

A: The sum and difference identities of sine and cosine are given below: sinA+B=sinAcosB+cosAsinB…

Q: True or false: The sine of twice an angle equals twice the sine of the angle -----------------------

A: We have to say that the given statement is true or false: The sine of twice an angle equals twice…

Q: Using a double-angle or half-angle formula to simplify the give (a) If cos² (36°) – sin²(36°) =…

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Q: True or False and explain why 3. Because sin(-t)= -sin t, you can conclude that the sine of a…

A: True.

Q: An access ramp from a sidewalk to a restaurant door rises 3.2 feet over a horizontal distance of 30…

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Q: Here is triangle ABC: 1. Express the length of segment AB using sine or cosine. 2. Express the…

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Q: True or false: The sine ratio is opposite side over adjacent side. O True False

A: Given: sine ratio

Q: Use table for trigonometric function values of some common angles and simplify the resulting…

A: In the table of trigonometric ratios, we get sin30°=12sin60°=32cos45°=12cos60°=12

Q: The angle 0 is in standard position, passing through the point (-5,12). 13 12 11 10…

A: We will use property of right angle for trigonometry ratios

Q: What is the angle your line of sight makes with a horizontal line looking up at an object?

A: We are given that the object is above the horizontal.

Q: Use the Intermediate Value Theorem in Exercise to prove thateach equation has a solution. Then use a…

A: 2sinx=x

Q: Given: (-8, 6) sine = 3/5 4/5 -4/5 -3/5

A: We know that Sin(theta)=y/r r=√(x^2+y^2)

Q: The point (2, 3) is on the terminal side of angle e, in standard position. What are the values of…

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Q: 3. The terminal side of an angle e in standard position intersects the unit circle at point (-2,-…

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Q: Cosecant is the reciprocal function for the Sine function. True False

A: Use the following formulae, to define the trigonometric function.…

Q: exact value. sin 12

A: Note:- Sin(A+B)= SinA•CosB+CosA•SinB

Q: (tan 0+ cot 0) sin 0 = sec 0 Write the left side in terms of sine and cosine. sin 0

A: Given: left hand side is   tanθ+cotθ  sinθ since we know tanθ=sinθcosθ and cotθ=cosθsinθ, so we have…

Q: A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. Checklist Label…

A: Given: A tree casts a shadow of 25 foot and the angle of elevation from the tip of shadow to the top…

Q: Angle Intersects the unit at point (0.8996,-0.4368). What is the value of cos(beta) ?

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Q: Angle x lies in the first quadrant such that: cosx=3           5   and angle y lies in the second…

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Q: Example of worded problem of sum and difference identities of sine and cosine

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Q: dentify the quadrant in which the terminal side of the angle must lie conditions: sin 0 > 0, tan 0 <…

A: we have to find

Q: Example of Identities for the Product, Sum, and Difference of Sine and Cosine

A: Firstly the Product of sine and cosine, sin(α+β)=sinα cosβ +cos α sinβ,sin(α-β)=sinα cosβ - cosα…

Q: If sinA=2/3 Then find the value of TanA.

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Q: Find the exact value of sin 255◦

A: Formula: 1.  sin(180°+x) = - sin(x)  2. sin(x+y) = sin(x). cos(y) + cos(x). sin(y)    The main…

Q: 5 Sine cose do 1. Sine+ 3sine - 4

A: Indefinite integral

Q: Explain how the cosine and sine functions are defined. Think about the unit circle and right…

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Q: Law of Sines. Be sure to check if there is one tria =, find the missing lengths and angles of both.

A: Given: A=25.6°, b=153 cm, a=137.5cm To find: The length of missing angles and missing side. Law of…

Q: Write "csc(theta)Tan(theta)" in terms of sines and cosines

A: Topic - trigonometry

Q: cosine and sine

A: Four graphs in the question. To be find : sine and cosine graph.

Q: 1. The angle of depression from the top of a 25- foot-tall building to the base of a monument is…

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Q: 1. Use double angle identities to find values of the sine and cosine functions for each angle. 2x,…

A: we have tanx=2cosx&gt;0Using identity 1+tan2x=1cos2x1+4=1cos2x1cos2x=5cosx=±15cosx&gt;0cosx=15Using…

Q: 1. Angle in the first quadrant has a sine of What is the tangent of this angle? √2 (HINT: Use…

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Q: s it true that arcsin sin π = sin arcsin π ? Explain your reasoning

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Q: Consider the values of sin⁡(20°) and sin⁡(10°).

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Q: 9. One end of a foot ruler is placed against a vertical wall; the other end of the ruler reaches a…

A: As shown in figure, let AB is foot ruler, AB=12 inch Ruler is placed against vertical wall and its…

Q: Find the sine and cosine of the acute angles in the right triangle.

A: The measure of one angle = 90° in a right triangle.Also in a triangle, the sum of measures of all…

Q: Use a calculator to approximate the value to four decimal places. sin 3

A: Given: - The trigonometric function is, sin(3) To find: - The value of the given trigonometric…

Q: Find the exact value of sin (三.0 sin (Type your answer in radians.)

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Q: cose Simplify sece - 1+ sine

A: To somplify : secθ-cosθ1+sinθ

Q: Area of any triangle can be found by the product of 1/2, two adjacent sides, and the sine of the…

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Q: What is the range of the sine function? The range of the sine function is (Type your answer in…

A: Finding the range of the sine function by the graph and the set where the function defined.

Q: se the sum or difference formula for sine to determine the exact value of sin (17π / 12)

A: To find the exact value of sin17π12

Q: What value of θ makes the statement true? cosθ=sin(θ/3−10

A: cosθ=sinθ3-10∘ Use cosθ=sin90∘ -θ⇒sin90∘ -θ=sinθ3-10∘ ⇒θ3-10∘ =90∘ -θ+360∘ n,    θ3-10∘…

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

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Q: cot? 0 + 1 а. Express in terms of sines or cosines of 0 and simplify: tan? 0 + 1'

A: Solving the problem in terms of sine function.   NOTE :: As per our Expert guidelines we are…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.