Evaluate cos |a+ 3 if sin a = 3 and a is in quadrant II.

Q: An equivalent exp a) cos² (0) COS O b) cot? (0)

A: We have to find the equivalent expression for   cos2(θ)( 1 + cot2(θ) ) from the following options :…

Q: VERIFY THE IDENTITY : sin (2A) cos (2 A) = sec (0) %3D sin (e) Cos (e)

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Q: If sin a = with < a < 2n, find cos - 2

A: Given,sin α = -35α = sin-1-35=323.13 degrees or 216.87 degrees.Since α is between 3π2=270 and 2π…

Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(B)

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Q: Provide the following identities: sin´0 + 2sin0 + 1 1. 1+ sine %3D 1 – sine cos e 2

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Q: 2.) Find the exact value of: a) cos COS b) sin 75°

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Q: Let sin A = 4/5 with A in QII and sin B = - 5/13 with B in QIII. Find sin(A + B), cos(A + B), and…

A: Let Sin A = 45  with A in QII    and Sin B = -513   with B in Q IIIFind Sin (A+B) , Cos( A+B) , and…

Q: Rewrite sin(a−7π/4)in terms of sin(a) and cos(a).

A: Given the query is to rewrite the ue expression.

Q: Find cos A when sing 12 and A is in the second quadrant. %3D 5/13 -5/12 -5/13

A: We have, sinθ = 1213,  θ is in the second quadrant To evaluate: The value of cosθ.

Q: Rewrite cos ( aæ + in terms of sin(x) and cos(a). 3

A: SOLUTION-

Q: Evaluate / cos(a0)d0 where a is a real number, and C is an arbitrary constant. sin(æ0) + C O a…

A: Solution-

Q: 3. Find cos a if sin a

A: Given:sinx=910cosx=?Formula:cos2x=1-sin2x

Q: If sin A= 12/13 with A in Q2 find cos A/2

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Q: Evaluate cos a sin'r dr. COS 2 3.

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Q: find the value of 0 sin(0)= cos(28)

A: We have to find the value

Q: d²p If p = a? cos? 0+ b² sin2 0, then show that p+ a²b? %3D COS p3

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Q: r = sin 8 +2 cos?e

A: The given equation is r=sinθ+2cos2θ. Note that r=sinθ+2cos2θ is a polar curve.

Q: Show that sin (A + B) + sin (A – B) = 2 sin A cos B. -

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: If sin (A)= 12/13 with A in QII, find cos (A/2). cos (A/2)=________

A: In second quadrant cos is negative

Q: The Equivalent expression of (cos 3A) / (sin A cos A) is ?

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Q: E sin i sin 98 cos 50 de

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Q: If sin A= -4/5 with A in QIII, find cos A/2

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Q: Let cos A = 2/√5 with A in QI and find sin(2A)=

A: In Q1 , sin is positive  So,

Q: (b) 2 sin cos 2

A: This question is about trigonometric identities.

Q: Which of the following is not true? a) cos?t+ sin²t = 1 b) csc²t - cot2t=1 c) cos?t- sim²t = 1 d)…

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Q: Which of the following is not true? a) cos?t+ sin²t = 1

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Q: If cos A= 21/3 and A is between 90° and 180°, find   sin A/2

A: Given : If cos A= 21/3 and A is between 90° and 180°,    Since, 90° &lt; A &lt; 180°…

Q: 4. Suppose that cos(A) = m , and A is in quadrant I. Then determine sin in terms of m. sin

A: Using half angle formula of trigonometry.

Q: If sin A 315 3π 2 where π < A< then cos 2A =

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Q: If cos A  = 1/2 with A ,find the following  sin A/2

A: Given: cos A = 12 To find: sin A2

Q: 24 where 25 3T < B < 2n , find If sin(a) = where 0 < a < 13 and cos(B) = 2 (b) cos(a – B) ( 1) tan…

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Q: Write the formulas for cos(A - B) and sin (A - B)?

A: We have to write the formulas for cosA-B and sinA-B. We know the formula for cosine difference angle…

Q: Verify the identity. 4 cos?(x) – 2 = 2 – 4 sin2(x)

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Q: Evaluate sin" a cos a da.

A: Given : ∫sin4x cosx dx

Q: Given tan A = -% and cos A < 0, determine sin A. O 4/5 O 3/5 O -3/5 O -4/5

A: Let's find.

Q: If sin A = 3/ 4with A in QII, find cos A.

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Q: (a) cos(α + β)  (b)  sin(2α)

A: The objective is to find  (a)cos(α + β)  (b)  sin(2α)

Q: Find the exact value of cos(A- B) under the given conditions: [ 4 sin A = V5 Зп TT < A « 2. ta 5 TR…

A: We have

Q: Find cos a if tan a= (√2)/2 and sin a=-(√3)/3

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Q: Find the exact value of each expression:\\ (a) sin¯¹ (√3/2) \\ (b) cos¯¹(−1) \\ (a) \\ (b)

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Q: Determine the exact value of cos(330)° V3 2

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Q: Which of the following is not true? a) cos?t+ sin²t = 1 b) sec²t – tan²t =1 c) csc?t – cot²t =1 d)…

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Q: Determine cos-(sin c) if c = 19% 197 %3D radians. Enter an exact answer in terms of t. 3

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Q: If sin(A+B)=1 and cos(A-B)= V3 -,0B then find A and B

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Q: Find cos A in the right triangle below.

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Q: (b) /(cos æ)* sin a da

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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.