Prove (cosa + cosB) + (sina + sinß)° = 4cos²- « - B) %3D

Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

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Q: θ = cos^-1[sin(LT1) sin(LT2) + cos(LT1) cos(LT2) cos(LN1 − LN2)] How does this formula go with…

A: Consider the figure as our Earth. O is the center of the earth Point P on the earth surface has…

Q: Period of y = sin 3x

A: Given, y=sin(3x) ∴ Frequency in radians, ω=3 ∴ Frequency in Hz, f = ω2π => f = 32π Time period, T…

Q: 2 arcsin ++2rk, ±- 4 - 2rk + 2жk 4 ±"+27k, ±- 4 - 27rk + 2жk 4 57 + + 2rk, ±- 4 - 2rk 4 ++2rk, ±: 4…

A: sin-(-2/2) 2/2 = 1/2 sin-(-1/2) sin is negative in 3rd and 4th quadrant so here π + π/4 = 5π/4 and π…

Q: 8. If sinx = , x is in quadrant II, then the value of cos2x is %3D 17 b) -161 30 161 353 a) 289 c)…

A: Given : sin x = 817 x is in quadrant II.     To find the value of cos 2x.

Q: 2. Explain why arcsin(sin(0)) = 0 but arcsin(sin(807)) # 807

A: Concept  arcsin(sin x) = x   is true  only when x lie in the interval [-π/2 , π/2]

Q: (cscD+cotD)/(tanD+sinD)=cotDcscD

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Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

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Q: Prove the following trigonometric identities. 1 cotx a) 6 cosx| 6 cosx = 6sin² x COSX CSCX

A: The details solution is given below

Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

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Q: (arctan o tan)' = 1 – pi k E z°(k +1/2)pi When differentiating on the Real line is this true?

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Q: I have trignometric equation, that needs to proven: sin^2x (cotx+1)^2 = cos^2x (tanx + 1)^2  please…

A: Given trignometric function sin2x(cotx+1)2=cos2x(tanx+1)2

Q: Prove that sin 0 COS 0 2 2 = 1 - sin 0.

A: 1. sin2θ+cos2θ=1 2. sin2θ=2sinθcosθ

Q: (1- sin@) ) (1-sini (It sine

A: Given: I=∫dθ1-sinθ1+sinθ   As we know that; The trigonometric identity: 1). sin2x+cos2x=1 2).…

Q: und tre e given t Coslutl

A: To find the exact value of cos(u+v)=cos u cos v -sin u sin v and we are given that  sin u =-35 ; cos…

Q: how to find cos z using, cos^2x +cos^2 y+ cos^2 z=1     where x = 45deg  and y = 60deg

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Q: Inverse/arc of cos2(theta) = 0

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Q: Evaluate * | (0² + 1) cos 0 d0. e2sine + 20cose – sine + c 02sine – 20cos0 – sine + c Option 1…

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Q: 5 4+ 3 2₁ 1- 0 (,¹) TT 2п STT 9 п 2 ,1) Уп 5п

A: To find the Sine function represented by the following graph.

Q: Prove that sin? 0 + cosª 0 = sin“ 0 + cos² 0.

A: Using fundamental identity of trigonometry.

Q: Why is V /5+ 5 tan² 0 = v5 sec² 0? Because Vtan 0 = sec 0 Because 1+ tan² 0 = sec² 0. • Because sec?…

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Q: (sinx/ 1-cosx)=cscx + cotx   verify the identity

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Q: (1-sinA) (1+sinA) Prove that- =(secA-tanA)

A: Given question is wrong. Actual question is 1−sinA1+sinA=secA−tanA2 We have to prove that…

Q: Prove that sin 0 2 2 $9² COS = 1 - sin 0.

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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.