sin a =2 and cosec a = Cos a = and sec a = %3D tan a = and cot a = = %3D LIA た一〇

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

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Q: y = cot2(cos(θ))

A:

Q: csc2 x + sec? a Csc* cos?

A: Given:       csc2x+sec2x=csc2xcos2x

Q: 7. Find the exact value of each real number y in radians. (a) y = sin-() (b) y = arccos(-) (e) y =…

A: We are solving the question number 7 of first three subpart and for the next subpart post the…

Q: Find the exact value: sin 0 = where <0< T. Find: cos 20

A:

Q: 40 cos tan

A: Given, cos[tan-1(40/9)] The value of tan-1(40/9) = 77.31960

Q: om the Unit Circle 2 (#_ sec 330° CSC 210⁰ cos 60°

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Q: Find the exact value of the expression. 1 COS 11a sin

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Q: If csc 0 =, and cos 0 T. what is tan 0? tan 0

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Q: Sin x dx cos? x cas

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Q: TT Find the exact value of sin cos 3*

A: The required value of the product of the sine function cosine function can be found with the help of…

Q: 6. SOLVE – Given the trig values of sine and cosine below to find tan 0. sin 0 = and cos 0 = 2v10 -

A: Given that  sinθ = - 3/7 cosθ = (2√10)/7 To find tanθ

Q: (플). 3. If sin e and 0 € find sec(0 – 57).

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: 꺼니 Sin (t) dt Cos? CE)

A:

Q: | sin? 8x dx = попe

A: We have to find the integral.

Q: Find sin(a) and cos(B), tan(a) and cot(B), and sec(a) and csc(B). 3 (a) sin(a) and cos(ß) (b) tan(a)…

A:

Q: find the value of 0 sin(55) = cos(0)

A: The solution is given below in the next step:

Q: Given tan θ = - 1/3 and cos θ &lt; 0, find sin θ and sec θ.

A: To find sinθ and secθ

Q: Find the exact expressions for sin 0, cos 0, and tan 0. m

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Q: 5+ cos a

A:

Q: The functions that are negative for e = 315° cot sec Csc sin COS cos tan

A: Given,    θ=315°

Q: ind the exact value of sin 0 if csc 0= * and 0 <0<90. %3D

A:

Q: Find sin 20 if: sin e = and 2 sec e <0

A: Ans is given below

Q: The value of the expression cos r- tan z-2 + sin z + sec is

A: sin2x+cos2x=1 sec2x-tan2x=1

Q: Find the exact value. () T (а) cos 225° (b) tan 150° (c) sin 6. 4 т (d) sec 3 (e) cot - (f) csc 300°

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Q: sin? cos' dx 2.

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Q: Verify the identity by transforming the left side of the equation into the right side. csc 0– sin 0…

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Q: 10. Find the exact value of the composition. cos sin

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Q: If sin ? = 0.2774, find cos ?. Round to four decimal places

A: Given that, sin of theta = 0.2774, find cos of theta

Q: Find sin(a) and cos(ß), tan(a) and cot(ß), and sec(a) and csc(ß). 16 28 B

A: Given,          A right triangle is shown below

Q: tan A cot A = sin A+cos A SI sec A csc A

A: Given  tanAsecA+cotAcscA

Q: Find the exact value of : a) cos 60° = b) tan c) sin 45° = 4 e) sec0° = d) cos T =

A: Lets find exact value of given trigonometric function.

Q: Determine S" sin® ) cos? () dx XIN

A: Given integral ∫0π sin8x2 cos2x2 dx

Q: Assume that a particle's position on the x-axis is given by the equation x= 2 cos t+5 sint where x…

A: The given equation is x=2cos t+5sin t. Substitute the value of t=0 in the given equation. x=2cos…

Q: 4) Determine the exact value of each trigonometric ratio. a) sin 5t/6 b) sec -Зл/4

A: We will use basic properties of trigonometric functions and find the values as follows

Q: If sin(e) and tan(0) 13 find sec(@).

A:

Q: Write cos 0 cot 0 in terms of sin 0 and cos 0

A: The given trigonometric expression is: cos θ cot θ   Solution is below:

Q: Find the value, correct to 3 decimal places for each expression: (a) sec(arctan(2)) (b) cos(2…

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Q: 2 cos? 0 (csc? 0 + 3 sec2 0) = 2 csc? 0 +4

A: Here given identity as 2cos2θcsc2θ+3sec2θ=2csc2θ+4

Q: cos(e)tan(e) If is written in terms of sin(0) only and simplified, what is the resulting expression?…

A: The given expression,   cosθ tanθsec2θ-1

Q: sin a cos a + sec a 53. sec? a — tan? а csc a

A: To verify the identity

Q: cos?e 5.- = 1 + sin0. %3D '1-sin0

A:

Q: 20 Given: csc (8) = find sin (0)

A: We know that; cosec x = 1/(sinx) So, according to the given question; sin(Θ) = 1/(cosec(Θ)) = 9/20.…

Q: Simplify. sin e cos e + sec 0 1. csce

A: We have to simplify the expression. It is known that  sinθ=1cscθcosθ=1secθ and sin2θ+cos2θ=1

Q: Sin(28) = cos(a) %3D mLa?

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Q: Prove the problem below. Show the step-by-step solution. sin 0 sin 0 tan20 csc 0-1 cot20

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Q: The functions that are negative for e = 315° cot sec CSC sin Cos tan

A: Given,  θ=315°

Q: b. Sina 142 ヒ (os142 t cos? F. Sin go° + (05290°

A:

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.