5 sin 0 – 4 cos 0 If 5 tan 0 – 4 = 0, then the value of 5 sin 0 + 4 cos 0

Q: cos 0 by 1 - sin 0 1 + sin 0 1 + sin 0 Multiply

A: Consider the given expressions. cosθ1-sinθ and 1+sinθ1+sinθ The algebraic formula is defined as.…

Q: Establish each identity.

A:

Q: snip

A: Given: The equation is sin 4θ = cos θ4 sin θ - 8 sin3 θ .

Q: Verify the identity: 1/(sin θ + cos θ)+1/(sin θ - cos θ) = 2 sin θ/(sin4 θ- cos4 θ)

A:

Q: Given the following informationabout one trigonometric function, evaluate the other five functions.

A: Solution: Consider the given trigonometric function is sin θ = -45    and π < θ < 3π2 sin θ =…

Q: sin (3æ) cos (4æ)dx 1 -cos (72) + cos (-a) + C 1 1 1 -cos (7x) + 14 -금in (7z) + 글sin (- 14 2 O A 1 1…

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Q: snip

A: tan θ=-2=-21tan θ=opposite sideadjacent sidehypotenuse=adjacent side2+opposite side2…

Q: Cos 3.x - cos 7x 53. sin 7x + sin 3.x cos tan 2r 54. sin = %3D

A: We can verify question no 53 as below

Q: sin 50 integral do 6 + cos 50 ostitution w = 6+ cos 50. do

A: We have to calculate the given  indefinite integral using the given information

Q: sin 20 cose = tan 1+ cos 20 " 1+ cose 2

A:

Q: 1- sin 3 Cos B 1+ sin 8 Cos 3

A: We have prove the identity 1-sinβcosβ=cosβ1+sinβ , using trigonometric properties or mathematical…

Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

A:

Q: sin 20 + 2 cos 2 0 Verify the identity tan 0 + 2 cot 0 = sin 0 cos 0

A: Solve the given identity

Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

A:

Q: sin 0 1 + cos 0 Establish the identity: 2 csc 0 1 + cos 0 sin 0

A: given sinθ1+cosθ+1+cosθsinθ=2cosecθ

Q: establish each identity.

A: Our Aim is to prove sin θ cos θcos2 θ-sin2 θ=tan θ1-tan2 θ -(i)

Q: 39. cos (7 + x) 40. sin(27 - x) 41. sin 42. cos + x 2

A:

Q: 1. If tan z = - 0.5 then tan( – æ) - 2. If sin z = 0.5 then sin( – æ) = 3. If cos a = 0.2 then cos(…

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Q: cos(sin1(0.8182)) O -1.4251 O -0.4251 O 0.5749 O 1.5749 O 2.5749

A: Inverse

Q: 1. If tan x = -3 then tan (-x) =  2. If sin x = 0.3 then sin (-x) = 3. If cos x = 0.2 then cos (-x)…

A: Answer 1. We know that  sin(-x)=- sinx and cos(-x)= cos x  tan x= sin xcos xHence  tan (-x)= sin(-…

Q: 9. sin-1 /2 /2 10. sin-1_ 1

A: We have to find the exact value of the inverse trigonometric expression: 9.     sin-12210.…

Q: (1 + cos α)(1 − cos α) = sin2 α (1 + cos α)(1 − cos α) = 1 −(     )=sin2α

A:

Q: Verify the identity. 6 cos(sin-1 x) = / 36 – 36x2 Let 0 = sin-1 x = sin 0 = x = X. Thus, 6 cos(sin-1…

A: use trigonometric identity  to verify it.

Q: If tan a = - 1 then tan( – x) = If sin æ = 0.4 then sin( – æ) = If cos z = 0.5 then cos( – 2)= If…

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Q: Ask the paper questions 2-8

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Q: 1. If tan x = -3.5 then tan(-x) = %3D 2. If sin x = 0.8 then sin(-r) = 3. If cos 0.6 then cos( r) =…

A: We know that  sin(-x) = -sinx cos(-x) = cosx tan(-x) = -tanx cot(-x) = -cotx sec(-x) = secx…

Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

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Q: 1+cos 4x Express without double angles. sin 4x O (cot a + tan x) O ÷(cos x 글 (cos sin x) - O (cot a…

A:

Q: 1. If tan a = - 3.5 then tan( – 2) = 2. If sin æ = 0.4 then sin( – æ) = 3. If cos x = 0.9 then cos(…

A: 1.  tan is negative in 4th quadrant tan(-x)=-tanx= 3.5 2. sin is negative in 4th quadrant…

Q: tan 6+ sin 0 cos 2 2 tan e

A:

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

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Q: cos x – 1.75 = -1 COS X sin(4x) = 2 – sin 4x 4 tan(2x) – 1 = 3

A:

Q: 49. sin + o) = cos 0 52. cos (7 - 0) = -cos 0 55. tan (7 - 0) tan 0 %3D

A: 49. sinπ2+θ=cosθ Using addition formula  sinA+B=sinAcosB+cosAsinBsinπ2+θ=sinπ2cosθ+cosπ2sinθ…

Q: Cos 0–N1+ Sin 20 Tan 0 Sin 0 –/1 + Sin 20 N.

A: Recall: sin (2θ)= 2 sinθ cosθ sinθ cosθ= tanθ cos2θ+sin2θ=1

Q: 3 cos(0) sin(0) + 2 cos(0) = 0

A:

Q: sin 0 13. Prove that 1 - = Csc 0(1 + cos 0). Cos 0

A:

Q: sin cos 4 12 cos sin 12 4

A:

Q: sin θ = -4/5  ,3pi/2   4< θ < 2π Find cos(2θ).

A:

Q: Cos 0 sin 0+1 Multiply sin 0-1 by sin 0+1'

A:

Q: sin 4.4- sin 2A (a) Verify that = tan A cos 4.4 + cos 2.4 (b) Express the following as a product of…

A:

Q: sin(ø) = 2 3 and <0. Given that <0< what is the exact value of cos(20)?

A: Here, given that sin θ=23; π2&lt;θ&lt;π That is θ is in the second quadrant. Therefore, cos…

Q: 2 and 3 Suppose that tan 0 <0<T. Find the exact values of sin and tan JT sin 2 = Undefined tan 2

A:

Q: sin(cos (0.715)) O 2.6991 O -1.3009 O -0.3009 O 1.6991 O 0.6991

A: Given,               sin(cos-1(0.715))

Q: Find the exact value of the expression. a. tan(sin^−1(2/3) − cos^−1(1/3)) b. sin(cos^−1(3/4) −…

A:

Q: 5. cos (sin 5.

A: We have to solve given expression.

Q: 90. (sin 0- cos 0) - 1= -2 sind cos 0 o€) 1=-2 sin & cos 0 COS

A: Given: sinθ−cosθ2−1=−2sinθcosθ We have to prove the given identity. Identity used: sin2θ+cos2θ=1

Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given cos(x) = -24/25, 180 degrees < x < 270 degrees

A: topic - half angle values of trigonometric functions

Q: sin 50 Show that 16 cos 0 – 12 cos² 0 + 1. sin 0

A: given,