13. Prove. 1+ tan 0 a) cos 0+ sin 0 = sec 0 1 b) 1- sec 0 1+ sec 0 1 = -2 cot? 0 ,2 c) cos 20- cos 0= sin? 0 – sin? 20

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: 1) sin 9) tan-1 (-V3) 11) sin- 2

A: Given! 7)sin-1(-1/2) 9) tan-1(-√3) 11) sin-1(-√2/2). Repost the next parts.

Q: 2, 3π cot²( -B) if sin 2ẞ 4 5

A: Answer : 1.1879Let me know if you have any question, and please don't forget rate my…

Q: 2: Prove that a) cosx tan3x = sinx tan’x b) (sin x + cos x)² = 1 + sin 2x

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Q: 5- Prove that a) tan x (csc x – sin x) = cos x b) 1+ sec?x sin?x = sec?x

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Q: sin? x 6. 1- = COS X 1+cos x

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Q: 9) csc tan 13 4.

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

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Q: 1 - cos 20 58. Show that tan? 0 1 + cos 20

A: It is known that by double angle formula, 1-cos2θ=2sin2θ1+cos2θ=2cos2θ

Q: #25

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Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

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Q: Prove a) cos(0+0) = COSOCOS-sinesind

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Q-2- Find the function Values by_using double angle formula Coso Sine 2 sino Cose Cos 20 = Sin 20 1)…

A: By using double angle formula:-

Q: 2. cot 0= sin 0 = cos 0 = tan 8 = csc = sec 0 = 2

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Q: Statement cotx (sec²x - 1) = = = cosx -(sec²x - 1) sinx cosx sinx cosx sinx sinx COS.X = tant…

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Q: 7.) tan 0 sin 0 + cos0 = sec 0

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Q: 8) (-117) (-1.7 Sin 0= cos@2 Sec = ton@= Cot @2

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Q: sec 0 – cos 0 = sin 0 tan 0

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Q: 2, 3π cot²( -B) if sin 2ẞ 4 5

A: See the attachment.Explanation:

Q: k = 0, +-1, +-2, ... ) x = +- Pi/2 + kPi A) cosx+cos2x=0 B) sinx+sin2x=0 C) sin2x-cosx=0 D)…

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Q: 5 [cot 0 · sec 0 · sin 0]

A: Given: 5cotθ·secθ·sinθ

Q: Find all solutions of 2sin^2 θ=5sinθ+3

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Q: 7. Verify the following: (sec0 + csc®)(cos0 – sin0) = cot0 – tan0

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Q: If sine= 2 and sece<0, find cose and tane 2/5 cos e= 2, tane= 3 -25 cose= 3 tan e= 5 5 O sece= 2/3,…

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Q: cos 8+sin e ) sec 20 + tan 20 cos 0-sin e

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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: Given rhat deri ve formula cos (A+B) = COSA COSB COSCA -B) Sina sinB, for Sin (A+B) (Henr:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1) cos- 1 2 3) sin-1 V3 5) cos-.

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

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…

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Q: b) Using the equation 3 sin² x + 7 sin x = cos²x - 4 i) ii) Hence solve, for 0 < x < 360° Show that…

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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.