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

Q: 13. If tan(x) = 3/2 and cos x <0, find the exact value of sec x. %3D

A: Given, tanx = 3/2  cos x &lt; 0   We have to find sec x

Q: 57T then 4° If 0 %3D - sin(0) equals cos(8) equals tan(0) equals sec(0) equals

A: Using trigonometrical identities.

Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

A:

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

A:

Q: Suppose that tan 0 = - and 90° <0 < 180°. 4 Find the exact values of cos and tan 2 믐 JT - 0 cos %3D…

A: giventanx=-34   90°&lt;x&lt;180°  we know that…

Q: Let cos x = 1/3+z and cos x lies below then x-axis. Find sin(2x), cos(2x) and tan(2x).

A:

Q: establish each identity.

A: To establish each identity, lntanθ=lnsinθ-lncosθ

Q: 2 _ 2 if tane + sin0= m and tan0 – sin0 = n ,show that m² – n´ = 4 mn

A:

Q: – 27 then If 0 3 sin(0) = cos(8) =

A:

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

A:

Q: A = -, find sin 2. If 90° <0 < 180° and cos 0 :

A:

Q: Let tan 0=5 with 0 in Q1 and find the following. Sin 2zero

A:

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: sin22x = 1- cos?2x В cos²2x = 1-…

A: Check the identities

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: To evaluate sin*2x cos 2x dx , the identities to be used is/are: sin4x, 1- cos4x A 2 B cos²2x=1-…

A: Solution:-  This types of trignometric integrals can be solve by reduction formula of integral.

Q: 6) If sin 0 = 0.2774, find cos 0. Round to four decimal places.

A: Given: sinθ=0.2774

Q: Let sin 0 =0.188. Compute the value of sin(20). Round your answer to nearest thousandth.

A:

Q: Find sin x if cot x=-(√3)/2 and cos x (less than) 0

A: We will find the value of sin x.

Q: Given that sin2   x + cos2  x = 1 and sin x = −√2/5, what is the possible value of cos x

A:

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: It is given that sinx=35.

Q: Prove sin (90◦+x) + sin (90◦−x) = 2 cosx

A:

Q: Suppose that π≤θ≤3π/2, tan(θ)=6/12, find sin(θ)=______. (round to 3 decimal places)

A:

Q: Suppose that sin(θ)=3/7. What cot(θ)=______

A:

Q: Suppose that sin 0 = V10 and 90° < 0 < 180°. Find the exact values of sin and tan- JT sin 2 %3D…

A:

Q: Find the exact value of sin 20 if tan 0 with 0 in QII. 4 %3D O - 8 17 13 17 8 17 17 o 4V17 17

A:

Q: Prove the below cos' x sin 3x + sin' x cos 3x 3 sin 4x 4 II

A: Simplification of trigonometry function

Q: 7. Show that sin (+ x) = -cosx.

A:

Q: If csc(z) = 4, for 90° < z < 180°, then sin (;) - ()- cos tan

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: Find sin 2x, cos 2x, and tan 2x from the given information. 4 cSc x < 0 5' cos x = sin 2x = cos 2x =…

A: Given  problem:-

Q: If 2 sin-' p = cos-q, show that 4p² – 4pª + q° = 1.

A:

Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

Q: To evaluate sin42x cos 2x dx , the identities to be used is/are: A cos?2x=1– sin2x 1+ cos4x & 2…

A:

Q: Find Sin 2x, Cos 2x, and tan2x terminateS if Cosx COSX = -15 quadrant I Hupo して 2x= Sin COS 2x = Cos…

A:

Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

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

A:

Q: Suppose that π/2≤θ≤π, sin(θ)=2/10, find tan(θ)=______. (round to 3 decimal places)

A: Given:-sinθ=210π/2≤θ≤π

Q: sin(x - ) = -COS X 2

A:

Q: The suitable substitution to evaluate | sin 4(x+2) dx is None (1- cos8(x +2)] [1- cos4(x + 2)]…

A: Given that: ∫sin24(x+2)dx

Q: if sinx=1/8 and x is in quadrent 1, then cos(180-x)=???

A: Simplify cos(180-x),

Q: Suppose that π≤θ≤3π/2, tan(θ)=10/7, find sin(θ)=______. (round to 3 decimal places)

A: The given problem is solved below details.

Q: If cos 0+sin 6= /2 cos 0, show that cos 0-sin 6 = /2 sin 6.

A:

Q: What is the simplified form of cos 10r-cos 4x sin 10x+sin 4x O -cot(7x) O -tan(7x) O tan(7x) O no…

A: SOLUTION-

Q: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

A: Given: sin7π12, cos7π12 We know that sinA+B=sinAcosB+cosAsinB…

Q: What is the simplified form of cos 10z-cos 42 , sin 102+sin 4æ O -tan(7x) O -cot(7x) O tan(7x) O…

A: We will evaluate the given form to simplest form as shown below

Q: Suppose that π/2≤θ≤π, sin(θ)=2/9, find cos(θ)=______. (round to 3 decimal places)

A: Here, θ is in the second quadrant( π/2≤θ≤π) and cosine is negative in the second quadrant.

Q: Find sin 2x, cos 2x, and tan 2x if sinx and x terminates in quadrant IV. sin 2x cos 2x %3D tan 2x

A: