EXAMPLE 5 Evaluating Trigonometric Functions 4 -- and cos 0 > 0, find cos 0 and tan 0. Given sin 0

Q: Suppose that cot e = -3 and <0< 2n. 2 Find the exact values of sin- and tan 2 2 믐 sin Undefined ?…

A: The solution are next step is

Q: 8. If sin 0 E and tan 0 -E, find sec 0.

A: Given: sinθ=513 and tanθ=-512. To find: secθ Solution: We have, sinθ=513 and tanθ=-512 We know that…

Q: Find the exact value of expression.

A: The given expression is 2sinπ3-3tanπ6. Simplify as follows.

Q: Find all the trigonometric values of

A: We have given sin θ=-35 It is known that cosec θ=1sin θ cosθ=±1-sin2θ So, cosec θ=-53 and  cos…

Q: Find cos θ if  sin θ =  1 2  and θ terminates in QII.

A: Assume sinθ=12⇒θ=sin12-1⇒θ=30° , 150°

Q: Find the exact value of the expression whenever it is defined.

A: Definition used -                       Domain of sin-1(x) is [-1,1].                       Range of…

Q: Find the exact value sin[sin^-1(-4/5)-tan^-1(3/4)]

A: Use relation between sin-1 and tan-1   The expression is re written as,

Q: If tan x = -1/3, cos x > 0,, then | sin 2x -6 cos 2x -1 tan 2x -3/4

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Q: tan tan 12 By using Trigonometric identities, find the exact value of the expression. 1+ tan- -tan-…

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Q: Assume that Sin θ= 4/5 where π/2<θ<π  find tanθ

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Q: Find the exact value of sin(π/3) sin(π/3)=

A: We can make it easier for you

Q: Find the value of the function if it is defined. If it's not defined explain why. sec (cos−1 (−0.4))…

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Q: .1 Without the use of tables or a calculator prove that 1-cos 2A = tan A sin 2A 2 Hence, calculate…

A: We have to prove this

Q: Simplify sin(5x) cos(5x) -cot (2x) sin(x cos(x) to an expression involving a single trigonometric…

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Q: Suppose that tan 0 = - and 90° <0 < 180°. 4 Find the exact values of cos and tan 2 믐 JT - 0 cos %3D…

A: giventanx=-34   90°&lt;x&lt;180°  we know that…

Q: Verify the identity. sec 0- cos 0= tan 0 sin 0

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Q: 1. Use de Moivre's theorem to express sin50 in terms of powers of sin.

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Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: Prove the identity tan+cot 0 = csc sin + sec 0 + cos e

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Q: Suppose that sec 0 =-/10 and <0<n. and tan 2 Find the exact values of cos 2 IT cos Undefined tan II…

A: Given query is to find indicated half angles.

Q: Verify the Identity: tan 0+ cos 1+sin 0 -= sec 0

A: To prove :- tanθ+cosθ1+sinθ=secθ

Q: Match the trigonometric expression with its simplified form. cos²[(π/2) -x] cos(x) sin(x) tan(x) O…

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Q: If tan 0 = 5 and 0 < 0 < 90° then the value of sin 0 is %3D

A: Answer and explanation is given below

Q: If tan(0) and sin(0) > 0, then sin(0) = cos(6) sec(0) = csc(0) = %3D cot (0) =

A: The solution of above question is written below. Some trigonometric formula :- sin θ = p/h cos θ =…

Q: If sin θ =1/4 and 0 ≤ θ ≤π/2 (a) determine the EXACT value of cos2θ (b) determine the EXACT value…

A: Solution

Q: Calculate the value of expression: sin- cos--2· cos- • tan 5 2

A: Explanation of the answer is as follows

Q: If sinx = 1/√5 and cosx < 0, find sin(2x)

A: Given : If sinx = 1/√5 and cosx&lt;0,   Now,                sin2x = 2 sinx cosx        ....(1)…

Q: cos [ tan-1 (4/3) + cos-1 (5/13)]

A: First we change the tan-1 into cos-1 . Then we add the inner two cos-1

Q: 1. If tan a = - 3.5 then tan( – 2) = 2. If sin æ = 0.4 then sin( – æ) = 3. If cos x = 0.9 then cos(…

A: 1.  tan is negative in 4th quadrant tan(-x)=-tanx= 3.5 2. sin is negative in 4th quadrant…

Q: Use fundamental identities to find the values of the trigonometric functions for the given…

A: Given that, cosθ=-13 and sinθ&lt;0 Since in the third quadrant both sine and cosine are negative.…

Q: Example 1-Use fundamental trigonometric identities to find the remaining five trigonometric…

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Q: Suppose that sin 0 = and 5 %3D - Find the exact values of cos and tan - 3.

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Q: What is tan 0 if sin 0 = cos 0? -1 1 Option 1 O Option 2 4 Option 3 Option 4

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Q: Let 0 <0<. If sin 0 3 what is the value of sin 20?

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Q: 2) Explain why sin(@) = cos(90 - 0). %3D

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Q: Considering only the values of α and β for which cos(α−β)/sinαsinβ is defined, cos(α−β)/sinαsinβ= ?

A: We will use the trigonometric identities written below to simplify this

Q: tan 0 = - 3 and cos > 0, find the exact value of sin 0.

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Q: sin(ø) = 2 3 and <0. Given that <0< what is the exact value of cos(20)?

A: Here, given that sin θ=23; π2&lt;θ&lt;π That is θ is in the second quadrant. Therefore, cos…

Q: What is tan 0 if sin 0 = cos 0? -1 1 O Option 1 O Option 2 4 O Option 3 O Option 4

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Q: Prove the reciprocal identities csc 0 = sin 0 1 and cot 0= sec 0 = cos ) tan 0

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Q: Find sin 0 + cos 0 + tan 0 if the point (-1,-2) lies on the terminal side of the angle 0 in standard…

A: Given: Point -1,-2 lies on the terminal side of θ, thenr=x2+y2sinθ=yrcosθ=xrtanθ=yx

Q: sin sin-1

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Q: Find the exact value of sin (4). sin (4)

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Q: tan (뜰) sin() 3 Determine an exact value for the expression 1 cos

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Q: Suppose that tan0 = -3 and Ꮎ Find the exact values of cos Cos tan 0 2 2 0 0 PIN 2 <<. and tan 0 DIN…

A: Given:⇒tanθ=-3,π2&lt;θ&lt;π

Q: Establish the identity. sec 0• sin 0 = tan 0

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Q: 5. If 0° < 0 < 90° and tan 6 = find sin 6 using trigonometric identities.

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