If 'P; +5° p, =º P,, Find r. _10

Q: If Sin 0= 3/5 , find without using tables the values of: i) Cos 0 ii) tan 6 (ans.: i) 4/5; i) 3/4)

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Q: 8. If tan 03D and 0 is in QIII, what is sec 0?

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

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Q: Differentiate

A: Given,          ft=tan2tcost

Q: In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? 1. sin(A) = sin(C)…

A: topic- trigonometric identities

Q: find dr>du.…

A: Givenr=4-u2sinuTo finddrdu

Q: Find two exact values of θ in degrees (0° ≤ θ < 360°) for which cos θ = −√32.Do not use a…

A: Given information: cosθ=-32, 0≤θ≤360° Calculation: The cosine function is negative in second and…

Q: If sin A = with A in QII, find Cos 9 cos Cos COS Cos Cos 스2

A: cos2A +sin2A =1 cos(2A)=2 cos2A -1

Q: snip

A: Given expression, tanθ+tanθ+π+tanθ+2π And tanθ=3

Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

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Q: If it is known that sin a = and < a <n and cos ß = -- and <B < , find the exact %3D value of cos(a +…

A: cos2 α+sin2 α=1  Substitute sin α=13 in the above trigonometric identity: cos2 α+132=1 cos2…

Q: If cos x = and sI< 27, then tan 2x %3D

A: Given,           cosx=45 , 3π2≤x≤2π.

Q: If w-f(a,b,c)=cos(ab)sin(b)+c, what is at -,6 )? 2 3

A: The given function is w=fa,b,c=cosabsinb+c and the point 12,π3,6. .

Q: Recall that sin² e means (sin 6)2. 2 If sin e = find sin? e. sin? e =

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Q: 7 If cos x s and sin y = -0 < x <,n < y < *, evaluate sin(x – y) using compound angle formula. %3D…

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Q: 5 In right triangle DEF, if mLF = 90 and cos E = sin D is equal to

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Q: QUESTION 2 Show that tan(tan 1 + tan 6. MOUTMOL %3D 17 UTMOUTMOUTMOUTY

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Q: If cotx = D. cos x = Z. and x is in quadrant II, then A. sinx || ! B. cos x C. sin a CTLA

A: follow next step

Q: If sin t 3 and t is in the 2nd quadrant, then 5 i) tant = ii) sec t

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Q: If sin B = B in QI , find with B Cos 3– 2/2 Cos 3 + 3 COS 6 3- 22 6 cos 3 - 212 cos 3 3 + 3 CoS

A: Given that, sinB=13 Find the value of cosB2. We know the trigonometric formula's:…

Q: 8. If tan A = -1/7 and tan B = 3/4 , where A is obtuse and B is acute, find without using tables the…

A: Given that: tan A = -17tan B = 34

Q: 6 If csc B =6, e in Q2, find Sin(20) with

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Q: If = cot (8/2).: 5. If show that tan(ß) %3D 2D %3D (D-1)(D+1)

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: 2. If sin 0 = and e is in the second quadrant, find tan, 0.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate e cos(2x) dar.

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Q: If sin t = and t is in the 2nd quadrant, then i) tant = II sec t

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Q: If the terminal point determined by t is (3/5,-4/5), then sin(t)= cos(t)= tan(t)=

A: The x - coordinate on the unit circle is cosine and the y - coordinate of unit circle is sine .

Q: If the terminal side of B contains the point (6, 8), what is the exact value of sin (8 7/2 10 V2 10…

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Q: If sin 0 3 with cos 0 < 0 , find: tan 0 Uint, l+ may cow the

A: We have to solve

Q: 5 If sin z = 7, x in quadrant I, then find (without finding x):

A: We know that sin x=perpendicularhypotenuseUsing Pythagoras theorem…

Q: Find sin u and cos u if the given point lies on the terminal side of u.     (3,-4)

A: R=x2+y2sin u= y/Rcos u=x/R

Q: If 4 | sin*ea cos cx dæ 0, 35 then c=

A: H3 hhh y

Q: 4. If v3cot0 = 2cos0, then evaluate sin?0 – cos20 |- %3D

A: See the details solution below

Q: If Sin A=5/13 with A in QII, then find sec A/2

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Q: If sec(α)=25.2/19.4, then what is the value of cos(α)?

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Q: 3. What is csce if tane = ?

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Q: If sin A = 65 with 180° < AS 270°, find cos 2A and cos 65 Cos 2A = COS 2

A: To find the value of the following,

Q: what is the exact value of the following  y= sin^-1(theta3/2) and y= accros (-theta2/2)

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Q: 10. Show that if A ia an acute angle, sin²A+ cos² A = 1

A: This can be solved using triangle

Q: Suppose ÐP is obtuse and sin P = 0.1392. Determine the measure of ÐP to the nearest degree.

A: Given ∠P is obtuse and sin P = 0.1392

Q: ди du and ar if u = e" cos 0 . cos(r sin 0) (1) Find

A: It is partial derivative

Q: If sin“ w – cos (-w) = 0, and 2 then w = (?) %3D - 3.

A: Given: Sin4 w- cos4 (-w)=0 and -π2≤w≤π2 To find out: w=?

Q: if sin 70°=cos x where x is the measure of an acute angle then x =

A: By using trignometric formula we can easily solve this given problem Detailed solution given below

Q: If Sin 0 = 3/5 , find without using tables the values of : i) Cos 0 i) tan 0 (ans: ) 45 ; ij 34)

A: Given: sin θ=35

Q: GIven that cose= 3 Sin e0 %3D find Sin 20 Cos 20 tan 20

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Q: If cos t =- and t is in the 3nd quadrant, then sin t

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Q: Find the exact value of s in [-7,7) by first finding the reference angle along with 45-45-90…

A: We know that, the 45°-45°-90° triangles can be solved using the 1:1: √2 ratio method. i.e, the…

Q: 3 If sin t and t is in the 2mnd quadrant, then 8 i) tant = ii) sec t = %3D

A: Given:         sin t=38   t is in 2nd quadrant.

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.