5. arcsm 0. arcsmU 1 7. arccos 8. arccos 0 9. arctan 3 10. arctan 1 11. arcsin 3 13. tan-(- /3) 12. arctan /3 14. cos-'(-2) 15. arccos 16. arcsin 2 V3 /3' 17. sin 18. tan 2 3

Q: 4. Establish the identity: sec ar - secr sin2 = cos LIC HS O6Y

A: Establish the identity

Q: uppose that θ=arcsin(4/9) in the first quadrant. What is cos(θ/2)? (round to 4 decimals)

A: Given that: θ=arcsin49 in the first quadrant.

Q: 4 Suppose that sine = and <0<. Find the exact values of cos and tan Cos Undefined tan Continue O

A:

Q: 15) tan-l –1 --1 V2 17) cos 2 1 19) tan- 1

A: Given: 16)  tan-1-1

Q: 15 and x terminate: 8. Find sin 2x, cos 2x, and tan 2x if tanx = sin 2x |3| cos 2x

A:

Q: 4) Find the exact value of sin 420 cos 12°- cos 420 sin 12°

A:

Q: 1+cos2x 3. cotx sin 2x

A:

Q: 15 If tan 0 :-: sin 6 < 0. Determine sec 6.

A:

Q: 11. cos4x-cos2 dx sin4x-cos2x

A:

Q: Suppose that places) < 0 < 2T, csc(0)=8/3, find sin(0)=___. 2 (round to 3 decimal

A:

Q: 5TT 2. Cos 6. 2п Cos 3 + sin sin 6 - - - 3 一。

A:

Q: cos(4x) – cos(8x) tan(2x) tan(6x) cos(4x)+ cos(8x)

A: We have to proof

Q: 2. Express sin40 and cos40 in terms of powers of sin 0 and cos e only, respectively.

A:

Q: 12 Find sin 2.x, cos 2x, and tan 2x if sinx= and x terminates in quadrant II. 13 sin 2x cos 2x tan…

A:

Q: (2) Find the exact value of the following: (i) cos-(-) (ii) tan-V3 (ii) 2tan-1+ tan-1, (iv) sec…

A: (i) cos-1(-1/2) = 2π/3 (ii)tan-1(√3) = π/3

Q: 3. If cos x = -, find sin(2x) given sin x < 0. -3 O O

A:

Q: 9) -135° Pos Neg Sin Cos -:-

A:

Q: 1. [(10 cos2x - 5 csc2x +4 tan2x + 8 sin2x)dx

A: Integration properties help to find the integration of the given function. Integration property for…

Q: 15 Find sin 2x, cos 2x, and tan 2x if tan x= and x terminates in quadrant III. 8 sin 2x = S ? cos 2x…

A:

Q: Compute sec() if sin(0) = 0.29 and 0 < 0 < 5 Give you answer accurate to 4 decimal places

A: Find your answer below

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: 5. If tan 0 = 2 0<0< find sin 2 CD

A: Given tan θ=52, 0&lt;θ&lt;π2   So θ=tan-152∴ θ=68.19∘

Q: Find sin cos 2 (3}))

A: We Have to solve above question

Q: +sin 0 1-sin 0 4 tan 0 sec 0 -sin 0 1+sin 0

A: Given query is to prove using identities of trigonometric functions.

Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

A:

Q: 4л coS 씀Cos 즙Cs -sin sin 15 15 15

A: We have to find the exact value cosπ15cos4π15-sinπ15sin4π15.

Q: 24. arccsc ( csc D. 8 25. cot(cot-1(-10)) E. 4 rec-(- tan ) 26. sec-1 F. V95

A:

Q: 2) Suppose tan 0 =7 and sin 0 <0. Compute sin 0 and cos 0. Exact answers are required.

A: Consider the given equation, tanθ=7 Since, there is sine negative and the value of tangent is…

Q: 15 Find sin 2x, cos 2x, and tan 2x if sin x= and x terminates in quadrant I. 17 sin 2x cos 2x = tan…

A:

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

A:

Q: 7. Evaluate Arc cos(j2).

A: It is principal value.

Q: = (0)1 %3D cos-(0) = %3D sin-(-V2/2) = arccos(1/2) = %3D %3D arctan(1) = %3D arcsin(1) =

A: Part 1,Given,           arcsin1

Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

A:

Q: 4. Find the exact value of sin if cose 2 3 and e is in QIII. cose =-- |

A: According to question,Given conditions,cos θ = -35,θ is in third quadrant.

Q: 1- cos 4x sec2 2x – 1 = 1+ cos 4x

A: Question is solved.

Q: tan(cos−1(−7/12))= sec−1(−1)= tan(sin−1(−3/7))= arcsec(−√2)=

A:

Q: 3 and e is in QIII. 5 4. Find the exact value of sin if cose

A:

Q: 5n 24. arccsc ( csc- 3 D. 8 25. cot(cot-1(-10)) E. 37 4 V95 26. sec-1 (- tan) 4 7 27. cos (cos-" (-)…

A: Given that:                      27. coscos-1-3828. tancos-1-71229. cossin-123

Q: 7. Find the period and the asy а) у%3D sec(® — 2п.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 13 If sec0 5 Show that 2 sin 0-3cos0 3D3 4 sin 0 –9 cos0

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in quadrant II. 17

A:

Q: 8 Find sin 2x, cos 2.x, and tan2.x if sinx = and x terminates in quadrant I. 17 믐 sin 2x cos 2x tan…

A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if cos x= and x terminates in quadrant I. 17 sin 2x cos 2x tan 2x…

A: Given cos x = 1517 and x terminates in quadrant Iwe find Sin 2x , Cos 2x, tan 2xwe know that in…

Q: 1. Evaluate: cos [Arcsin (3/5) + Arccos (-V3/2)]. (Do not use calculator. Show your complete…

A:

Q: 2) Find the EXACT value of cos if tan(0) = 3 and sin(0) < 0

A:

Q: 1. If 0° <0< 90° and sin 0 = , find sin 20. %3D

A:

Q: the tollowinng 1. cos (Arc cos) 2. cas(Are tanv3) 3. tan (Arc sin) 4. cos(Arc tan1) S.cot (Arc sin…

A: Find your answer below

Q: If sinx=38sinx=38, x in quadrant I, then find (without finding x) sin(2x)=sin(2x)=    cos(2x)=cos(

A: