sin Cabo-0 Jo tan (180-0). COS (180+x). (sIn?3C +COS?C)

Q: tan 0 + tan? 0 = sec* 0 - sec² 0

A: This question is taken from trigonometry in which we have to prove the given identity  We can write…

Q: Establish each identity.

A: Given sinθcosecθ-sin2θ=cos2θ

Q: sec x- sin xtan x= cos

A: see 2nd step

Q: 12) sin-1 -1 14) tan 0 V3 16) sin-! |

A:

Q: (a) sin-' (sin ()) (0) cos (cos (-)) 6. Evaluate COS

A:

Q: sin x – 2+ csc x (c) sin x – 1 sin x CSc x sin x + 1 | 1 (d) cos(tan-l x) = V1+ x² 1+cos u (e) Using…

A: We have to answer following Questions.

Q: sin x cos x) (2 -

A:

Q: True or False sin(sin-1 0) = 0 and cos(cos-10) = 0.

A: Given:         sin(sin−10)=0  and cos(cos−10)=0

Q: tan x-1 3. tan x - 1 sin? x +3 sin x +2 4. sin x +2

A:

Q: sin2 (풀) + cos2 (풀) =

A:

Q: Cos^2(x/2)=tan(x)+sin(x)/2tan(x)

A:

Q: Establish each identity.

A: Consider the given identity sin θsin3θ+sin5θ=cos θcos3θ+cos5θ   Consider the LHS LHS=sin…

Q: cos 0+cos 0 tan 0

A: 1+ tan²θ = sec² θ    cos θ = 1/ sec θ   use both we will simplify

Q: 3 ) -5 cos (sin-1 () tan (cos-1 (=12)) cos ( 7. COS

A:

Q: cos(x) = 3/6       3?/2 < x < 2? cos(x/2)=? sin(x/2)=? tan(x/2)=?

A:

Q: sin(x) cos(x) xp (cos(x))2

A:

Q: 10. Simplify (cos x- sin x)? - (sin x-cos x)'.

A:

Q: Establish each identity given in attachment.

A: To establish the identity, we need to prove that the left hand side is equal to the right hand side.…

Q: cos(2 + x () 2 + cos x

A:

Q: sin (-0) cos² (-0) Establish the identity: cos 0 sin 0 sin (-0) - cos (-ø)

A: Given: sin2-θ-cos2-θsin-θ-cos-θ=cosθ-sinθ

Q: cos?x- 3 cos x =- 1 on the interval [0,1).

A: Given- 2cos2x-3cosx=-1  To find- the value of x on the interval [0,π) Concept Used- The above…

Q: sin (sin " ()-cos *(4)-cos " (4). sin sin

A:

Q: sec2 (0) – 1 sec2 (0) sin?(8) %|

A:

Q: single trigonometric 2. Simplify sin (3x) cos (4x) + sin (4x) cos (3.x). Express your answer as a…

A: To simplify sin3x cos4x+sin4x cos3x. To express the answer as a single trigonometric function.

Q: (sin 0+cos 0)² 3. sin?0-cos20 sin²0-cos²0 (sin 0-cos 0)²

A: (Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: sin 40 + sin 20 12. cos 48 + cos 20 A- tan 30 B B tan 0 cot 30 D D cot 0

A:

Q: sin 4t – sin 2t = tan t cos 4t – cos 2t

A:

Q: cos(x+π6)+sin(x−π3)=______

A:

Q: 2. sin ß =- Sin?A ISinz Sin 4. tan B =

A: Given,           sinα=-817,    π≤α≤3π2           cosβ=23,        3π2≤β≤2π

Q: المو Sin 2 0 CosG %3D Sin o COSG

A:

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: cos- 0 + sin 0 = 1 COS

A: We know values of basic sin and cos, like sin0 = 0 = sinpi , sinpi/2 = 1 cos0 = 1 , cospi = -1,…

Q: sin[cos^-1(12/13)+tan^-1(4/3)]

A: Given:

Q: sin x − 1 = cos x − 1

A:

Q: /(sin x+cos

A: We have to simplify of the given expression using the trigonometry formula

Q: cos x+ coS x= 1

A: Definition used -               Solution of trigonometric equations -              If there is a…

Q: Identity or Equatio 2 cos x = 1- sin x Equation tan“ x - 2 sec? x = 1 Equation

A:

Q: cos2x – sin2x cos2x x=-F(x)+c•What is F(x)? For = - sinr

A:

Q: sin0 - sece 8) cos0- csce 9) tan? 0 - cot? 0 1+ sine 1-sine 10) 1- sine 1+sin0 1 1 11) 1- sine 1+…

A: Question Number 8 Given expression sin θ - sec θcos θ - csc θ

Q: entity. Cos (x- 90°)- cos(x+90°) = 2 sin x COS %3D

A:

Q: 2 sine – sin 20 lim 8--0 sine -0 cos0 Evaluate

A:

Q: Use words to describe the given formula.

A: Use words to describe the given formula.            sin·sin·=12cos·-·-cos·+·

Q: #/2 sin " x 2: Evaluate 20 sin ° x+ coSx

A:

Q: Sin 40 x Cos 20 + Sin 20 x Cos 40.

A:

Q: 10) sin? tan x-sinx %3D 2 2 2 tanx

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.