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

Q: Find sin θ and cos θ if the terminal side of θ lies along the line y = 3x in QI

A: Given, The terminal side of θ lies along the line y = 3x in QI.

Q: What is the equivalent expression of sin( −z) + sin(+z)?

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Q: Find tan'e de cos*e 33. sin o 36. Cos

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 sin(2x) =…

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Q: Verify sin (x +) = cos(n – x) %3D

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Q: Evaluate sin(x) 1+cos(x) -dx

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Q: Establish the identity. sin x+ sin y X+y = tan COS X+ COs y 2.

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Q: Evaluate ∫sin2 x cos4 x dx.

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Q: Verify the identity: (sin x - sin y)/(cos x - cos y) = -cot (x+y)/2

A: sinx-sinycosx-cosy=2cosx+y2sinx-y2-2sinx+y2sinx-y2=-cosx+y2sinx+y2=-cotx+y2…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 sin(2x) cos(2x)…

A: Given,           tan(x) =-16, cos(x) > 0

Q: sin(cos (2x)), where 0<x<

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Q: An equivalent expression to sin(-x) is: Oa) - sin(-x) b) sin(x) Oc) - sin(x) d) cos(x)

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Q: Differentiate a $sin "(z) with respect to sin x.

A: We will find out the required value.

Q: Find sin 5, given that sin x = 2 i and 0<x<5.

A: Here  sin x=14⇒cos x=1-sin2x              ⇒cos x=1-116              ⇒cos x=154 Now, sin2x2=1- cos x2…

Q: 4. Describe a way of evaluating x cos? x dx. sin' х. х со

A: We will use the reduction formula,  to solve this integral. where n ≥  is an integer. Now., we…

Q: The value of the expression cos z - tan z – 9+ sin z+ secz is

A: given expression is…

Q: Verify the identity. sin(x + y) – sin (x - y) = 2cos.xsiny

A: To verify the identity, sinx+y-sinx-y=2cosxsiny

Q: Rewrite cos x+ in terms of sin(x) and cos(z). 4

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Q: Find the W (sinx,cosx , sec x).

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Q: Rewrite cos x in terms of sin(x) and cos(x) -

A: Trigonometry problem...

Q: Given that sin-(x) = a and cos-(x) = B show that sin(a + B) = 1. %3D

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Q: Find sin(2x), cos(2x), and tan(2x) from the given tan(x) = -, cos(x) > 0 %3D sin(2x) = %3D cos(2x) =…

A: Given: tanx=-16,   cosx&gt;0 sin2x can be calculated as, sin2x=2tanx1+tan2x          =2×-161+-162…

Q: Verify the identity. cos 2x cos² r - sin? x

A: We have to solve the trigonometry problem

Q: Prove that: Sin'x+ cosx=I

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Q: Express cos { θ + π/2 ) and sin { θ + π/2 } ) in terms of cosθ and sinθ.

A: Given  cosθ+π2, sinθ+π2

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

A: We will use the below trigonometric identities to solve this

Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

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Q: Find if sin x +1= cos y

A: Given,           sinx+1=cosy

Q: Rewrite sin (z + in terms of sin(x) and cos(x)

A: Recall:  sin(A+B)=sin A cos B+sin B cos A We have, A=x, B=π3

Q: 2. Plot sin (x) and cos (x) on the same figure, then on the same axis using different colors. Where…

A: The graph of sinx for 0&lt;x&lt;2π is:   The graph of cosx for 0&lt;x&lt;2π is:

Q: We wish to compute sin° x cos“x dx,

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Q: Verify the identity: tan 2t = 2 sin t cos t sec 2t.

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Q: Rewrite cos ( x in terms of sin(æ) and cos(x). 4 -

A: we know that cos(a-b)=cosa cosb+sina sinb

Q: If cos(t): sin(t) = cos(-t) = 7 and tan (t) > 0, find sin(t) and cos(-t) 10

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Q: tan x e За. et 3b. cos“ x e* -7

A: PART A- Concept Used: secx=1cosx We want to evaluate ∫etanxcos2xdx Calculation:…

Q: Rewrite cos ( x –) in terms of sin(x) and cos(x) 3

A: we know that cos(x-y)=cos(x)cos(y)+sin(x)sin(y)

Q: l side of θ lies along the lin

A: we have to find sin θ and cos θ if the terminal side of θ lies along the line y = 4x in QI

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. cos(x) = , csc(x) < 0 %3D

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Q: Complete the statements.

A: a). As x→-1+, sin-1x→-π2

Q: If sin x = and cos x < 0, find sin(2x)

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Q: b. use tand=-1 d. cusd- e. f. sin--

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Q: Is this: sin x cos y- cos x sin y/ cos x sin y reciprocal quotient pythagoreom  algebra

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Q: Find sin θ and cos θ if the terminal side of θ lies along the line y = 2x in QI.

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Q: Determine if the statement is true or false.    2 sin  A/ 2 = sin A

A: Given : 2 sin  A/ 2 = sin A   Taking LHS : = (2 sin  A)/ 2 = sin A

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

A: Topic - Trigonometric identities Cos (a-b) = cos a cos b + sin a sin b