tan? x 1. Simplify: - 1+secx 2. Simplify: cot? x (sin² x)

Q: 23. Prove the identity sec 0 – tan 0 sin 0 sec e

A: We have to prove the identity: sec θ - tan θ sin θ =1sec θ This can be proved as follows:

Q: Use the quotient and reciprocal identities to find sin 0 exactly given: 8. sec 0 | 3 V55 tan 0 = 3…

A: Given- secθ=-83 and tanθ=-553 To Find-  The value of sinθ using quotient and reciprocal identity.

Q: *T/3 sin0 + sin0 tan²0 do sec²0 6.

A:

Q: find exact answers for sin(0), cos(0), tan(0),cot(0), sec(0), and csc(0). -1 3. If 0 = tan

A:

Q: Assume that sin 0 = , where n/2 < 0 < n. Find: (a) tan 0 (b) sin 20 (c) csc

A:

Q: Use a sketch to find the exact value of sec(sin-1 1/2).

A: Now

Q: Simplify completely: V4 -x where x = 2 sin 0 and 0 an acute angle.

A: Given,  x=2 sin θ and θ is an acute angle.

Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A:

Q: Simplify: (sin x + cos x)2 I need all work.

A: (sin x + cos x)2 = sin2x + cos2x + 2sinxcosx  = 1 + 2sinxcosx

Q: Use trigonometric substitution x = 3 sec 0, to evaluate 4xV4x2 – 9 dx . 2

A: The given integral,∫4x4x2-9dx

Q: Assume that 0≤ θ &lt; π/2, Find sin θ, cos θ, and sec θ if cot θ = 4.

A: As value of sinθ and cosθ revolves around +1 to -1 , they take different values depending on the…

Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

A:

Q: 5. The expression tanz+1 1+cot" was simplified as follows. tar' s+1 = = sec" r csc I cos e cot? a…

A:

Q: Boundady Sin? X yla, %3D

A:

Q: If csc(x) = 4, for 90° < x < 180°, then CS sin() Cos 2 %3D tan 2 %3D

A: formule: 1. cosec(x) = 1/sin(x) 2. tan(x) = sin(x)/cos(x)

Q: if sec 0 + tan0 = x,obtain the value of sec O,tan0 and sin0

A: We can solve this as per equation by using trigonometry formulas

Q: The expression 2 tan(x) sin(x) + 5 sec(x) simplifies to A sec(x) - B cos(x), determine A and B.

A:

Q: Find of: y = Tan? (sin-1(x*)) %3D

A: Find the derivative

Q: Express as a sum or difference.sin 7t sin 3t

A: The product to sum formula:                sin α sin β  = 12 cos(α-β) - cos(α+β)

Q: Is the following statement true or false? Explain. sin^−1 x = 1 /

A: We have to check

Q: 2. Which is the value of sin2 51° + cos? 51°? COS

A: We know that the trigonometric identity , sin 2 (A)  + cos2 (A) = 1

Q: Simplify: (sin x + cos x)2 I need full work.

A: Expand (sinx+cosx)^2 using (a+b)^2. (a+b)^2 = a^2 + 2ab + b^2 a=sinx b=cosx

Q: Express as a sum or difference:sin 7t sin 4t

A: sin 7t sin 4t

Q: simplify

A: We have to simplify  of the given expression

Q: If sec 0 = 15, what is sin O? tan 0? Enter the exact answers for 0 < 0 < sin 0 = tan 0 =

A:

Q: 1-cos?x 4. tanx sinxcosx

A:

Q: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

A: If cos(x)=A, cos(y)=B, sin(x)=C and sin(y)=D, find an expression for sin(2x+y) which only involves…

Q: 2) Find the value of: sec(tan )+ cos(sin ? 2. CoS

A:

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

A:

Q: Simplify cot^2 x + sin^2 x + cos^2(−x)

A: The trigonometric equation is cot2x+sin2x+cos2(−x).

Q: Simplify: csc^2 θ - cot^2 θ + 2 - (sin^2 θ +cos^2 θ) + sec^2 θ - tan^2 θ  = ?

A:

Q: What is the exact value of tan if sin(v) = -, where cot(v) >0? 1 A 2 1 B -2 D 3

A:

Q: Which expression is equivalent to sinαcosαsec(−α) for all values of α for which sinαcosαsec(−α) is…

A: Given,           sinαcosαsec-α

Q: Find the exact value of cot sin 25 O JT Undefined

A:

Q: If csc(x) = 8, for 90° < x < 180°, then %3D sin COS 2 (5) tan() = Ouestion Help:

A: It is given that, cosec(x)=8,    90°&lt;x&lt;180° So, we have, sinx=18 We know that,…

Q: Evaluate tan° (x) sec* (x)dx in the two different ways indicated.

A:

Q: Show that sin x – cos x< V2 V2 -

A: Take RHS first and work on that:

Q: Given sec 0 = 3/2 and sin 0 < 0 find sin 0 and tan 0.

A:

Q: Зл then find exact value for (without solving for x) 2 If cot(x) = and A<x< a. sin(2x) b. sin

A: We know that: cot x=1tan xsin 2x=2tan x1+tan2xsin x2=±1-cosx2

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

A:

Q: y? sin (tan Sx|

A: We have to find derivative

Q: Find the exact value, without a calculator. 30° sin 2 30° CoS sin 15° tan 15° = %3D cos 15° ? ]- VI…

A:

Q: What is the equivalent of the given expression in terms of sin x tan 0 - csc20 sec20

A: Given- tan2θ-csc2θsec2θ To Find- The equivalent term in terms of sinθ.

Q: Which expression is equal to csc x−cos x cot x using identities? sinx secx cosx tanx

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Q: if sec 0 + tan0=x,obtain the value of sec 0,tan0 and sin0

A:

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: 1+ tan? 1- tan? 8 cos? u - sin?

A: Given: 81+tan2u1-tan2u=8cos2u-sin2u To verify: Above identity by using reciprocal identity, and…

Q: If sec? x- 2010 Sin2010 P(x) sin2010, p is +c, then value of

A: Introduction :

Q: Solve sin(cot" x) ot 'x

A: