Suppose the angle A satisfies 0 < A< 2n. If cos(A) = -3 and sin(A) > 0: The angle A is in quadrant Quadrant? The angle A/2 is in quadrant Quadrant? Find exact values for each of the following: sin(A) sin(A/2) = %3D cos(A/2) tan(A/2) =

Q: Find the EXACT expressions for the indicated quantities, given that: cOS 는 /2+v3 sin 를 COs and

A: Here, first we will find will find the values of sin(π/12) and then,to find the value of tan(π/12),…

Q: Given that sin(a) = 2/5 and cos(b) = − 1/3, with a and b both in the interval {pi/2,pi),find the…

A: Explanation of the answer is as follows

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 8. sin x = - 17 x in Quadrant I

A: Given,            sinx=817 , x in Quadrant I.

Q: If cos (x +) + sin (x- ) = A, then the number A is equal to А. —2 В. — 1 С.О D. 1

A: compound angle formulae of trigonometry.

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

A:

Q: Find the exact value, given that sin A =-45, with A in quadrant IV, tan B = 724 with B in quadrant…

A:

Q: Reduce sin θ + 2 cos θ to the form r sin(θ + ϕ), and find ϕ

A:

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

A: Use quadrant to solve

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I

A:

Q: Find the exact value of sin α = 4/5 , a lies in quadrant I, and sin α = 7/25, β lies in quadrant…

A: Given Using trigonometric identity Here, Similarly, Also, And

Q: Find the exact value, given that sin A = - 4/5, with A in quadrant IV, tan B = 7/24 with B in…

A:

Q: Suppose a and b Find an exact value or give at least two decimal places: sin(A) = cos(A) = tan(A) =…

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Q: = -6, s in quadrant II

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Q: B) 1- Given that a sin %3D Find cos x,tan x, cot x, sec x and csc x ?

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Q: If sin A = 3/4and A terminates in quadrant I, find cos A and tan A.

A: Given sinA=34 and A terminates in quadrant I. We know that in quadrant I all six trigonometric…

Q: 3 Given sin 0 = - in TT 0 < 0 < =, find the five remaining trig functions. 2

A: We find the remaining trigonometry function

Q: =-5 13 sin(x) : x in Quadrant II

A:

Q: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

Q: Given sin(a) and a is in quadrant IV and cos(3) V and 0 < B < T/2. Use sum and difference formulas…

A:

Q: If sin a x in quadrant I, then find (without finding x): 8 %3D sin(2x) = %3D cos(2a) %3D tan(2z) =…

A: Given that: sinx=18, x is in quadrant I.

Q: Find sin(2x), cos(2x), and tan(2x) from the given inform 12 tan(x) = x in Quadrant II 5

A:

Q: find the exact values of a) sin(2x), b) cos(2x), and tan(2x) with out solving for x if cos x= -1/2…

A:

Q: 3 Given that the cos(0)= and is in the first quadrant, what is the exact value of sin(20) ?

A: Given that: cos(θ)=35  and θ is in first qudrantWe know that sin2θ+cos2θ=1substituting  cos(θ)=35…

Q: 13. If cos 0 has a negative value and tan 0 has a positive value, find a and b such 0< a < 0 <b < 2n

A: Cos X is positive in 1st and 4th quadrant. Tan X is positive in 1st and 3rd quadrant.

Q: Find the exact value of the following under the given conditions:a. cos(α + β)   b. sin(α + β)   c.…

A: given: tanα=-34, α lies in quadrant II cosβ=13, β lies in quadrant I we have to find the exact…

Q: Given sin a =with 0<a< 90°, find cos 2a and tan a/2.

A:

Q: 6. Given tanx =where x is an acute angle, and tan y =-2.4 where y is an obtuse angle. Without the…

A:

Q: Find the exact value for the expression under the given conditions. 9. for a in Quadrant II and cos…

A:

Q: 6. If sin A = where A is in Q2 and secB = where B is in the interval , 2n|, find sin(A – B).

A: We know in the second quadrant(Q2) all the trigonometric ratios except sin and cosec take negative…

Q: Given that sin x 3 and 0° < x < 90°, what is the value of tan %3D

A: Given that sinx=35 and 0&lt;x&lt;90 We need to find the value of tanx2 Take sinx=35…

Q: 8 sin(x) x in Quadrant I 17

A:

Q: Find the exact value, given that sin A = - 4/5, with A in quadrant IV, tan B = 7/24 with B in…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = , x in Quadrant I 5' sin(2x)…

A:

Q: If sin a cos 31° + cos z sin 31° =0.7, then the value of x, where 0° <x <90°, to the nearest whole…

A:

Q: 2. Given sin a = with 0< a < 90°, find cos 2a and tan a/2.

A: Using trigonometric formulas

Q: 3. For acute angle 0, we have that tan 0 = 2. Provide the exact values of each of the following…

A:

Q: 1. Given that sin(a) = with 0 < a < 5, give an exact answer for the following: a. sin() b. cos() %3D…

A:

Q: Solve for tan(A – B) if sin(A) = and A is in Q1 and if cos(B) = - and B is in Q3. 25 [Hint: Use the…

A: Given: sin(A) = 4/5 and A is in Q1 and cos(B) = −7/25 and B is  in Q3.

Q: 1 x in quadrant I, then find (without finding x) 4 If sin x = sin(2æ) = cos(2x) tan(2x)

A: Given: sin x=14 and x in quadrant I

Q: Find Sin(2x), Cos(2x), and Tan(2x), using the given information. sin(x) = −5/13,   x in Quadrant…

A: Given: sin(x) = −5/13,  x in Quadrant III In Quadrant III tan and cot are positive and all other…

Q: Given that cos 0 = <0 <n, find the exact value of each of the following. 3 (a) sin (20) (b) cos (20)…

A:

Q: Suppose v is in the interval G,n), with tan v =-11 Find the exact expression for the indicated…

A: tan v=-11v=tan-1(-11)v=95.2°

Q: If cos t =- and t is in the 3nd quadrant, then sin t

A:

Q: It is known that sin A =, where < A < n, and cos B = n< B < . Find the exact values of: where 13 3x…

A: Given that, sinA=35,π2&lt;A&lt;πcosA=-513,π&lt;B&lt;3π2

Q: What is the formula for sin (A/2)

A: Formula of sin(A/2)

Q: Find the exact value for the expression under the given conditions. 5 5 cos (a +ß), sin a = - for a…

A: Out of the six trigonometric ratios , two ratios are positive in 3rd quadrant i.e.tanx and cotx and…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5 x in Quadrant III 13' 120…

A:

Q: 2 x in quadrant I, then find (without finding x) If sin x = sin(2x) cos(2x) tan(2x)

A:

Q: Find all angles, 0° <0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree. 3…

A: Trigonometric function: - The fundamental six pure mathematics functions have a site input price…

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.