If 4tan θ 3 then cos2 θ – sin2 θ
Web(3) (ii) Solve . 8 cot θ – 3 tan θ = 2, for 0 < θ < 90°, giving your answer to 1 decimal place. (5) (Total 12 marks) 17. (i) Given that cos(x + 30)° = 3 cos(x – 30)°, prove that tan x° = −. 2 3. (5) (ii) (a) Prove that . θ θ sin 2 1−cos2. ≡ tan θ . (3) (b) Verify that θ = 180° is a solution of the equation sin 2θ = 2 ... Web∴ The least value of 3sin2 θ + 4cos2 θ = 3 Important Points It must be remembered here that: Although cos θ can take any value from -1 to +1, but the value of cos 2 θ can never be negative. Hence, the minimum value of the cos 2 θ will be zero. Download Solution PDF Share on Whatsapp Latest CDS Updates Last updated on Apr 6, 2024
If 4tan θ 3 then cos2 θ – sin2 θ
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Web3. tan2 θ cos2 θ = 1 − cos2 θ Solution: We know that, sin 2 θ + cos 2 θ = 1 Taking, L.H.S = tan 2 θ cos 2 θ = (tan θ × cos θ) 2 = (sin θ) 2 = sin 2 θ = 1 – cos 2 θ = R.H.S – Hence Proved 4. cosec θ √ (1 – cos2 θ) = 1 Solution: Using identity, sin 2 θ + cos 2 θ = 1 ⇒ sin 2 θ = 1 – cos 2 θ Taking L.H.S, L.H.S = cosec θ √ (1 – cos 2 θ) WebAboutTranscript. The Pythagorean identity tells us that no matter what the value of θ is, sin²θ+cos²θ is equal to 1. This follows from the Pythagorean theorem, which is why it's …
Web(x, y) B θ O A 1 x y Mathematics Learning Centre, University of Sydney 4 sin2 θ cosθ = sinθtanθ Exercises 1 1. Simplify a. sinxcotx b. cscθ secθ c. sinx+tanx 1+secx 2. Show … Web(3) (ii) Solve . 8 cot θ – 3 tan θ = 2, for 0 < θ < 90°, giving your answer to 1 decimal place. (5) (Total 12 marks) 17. (i) Given that cos(x + 30)° = 3 cos(x – 30)°, prove that tan x° = −. 2 …
WebIf 1+sin2 θ =3 sin θ.cos θ, then prove that tan θ= 1 or 1 2. Solution Given, 1+sin2 θ=3 sin θ.cos θ On dividing by sin2 θ on both sides, we get; 1 sin2 θ +1 =3.cot θ [∵cot θ= cos θ sin θ] ⇒ cosec2 θ+1= 3.cot θ [cosec θ= 1 sin θ] ⇒ 1+cot2 θ+1= 3.cot θ ∵cosec2 θ−cot2 θ= 1 ⇒ cot2 θ−3 cot θ+2= 0 WebThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Which of the following is equivalent to (1−sin2 (θ))tan2 (θ)? a) sin2 (θ) b) cot2 (θ) c) csc2 (θ) d) sec2 (θ) e) cos2 (θ) f) None of the above. Which of the following is equivalent to 3sin2 (θ)− ...
Web25 mei 2024 · If tanθ=−4/3 and θ is in the second quadrant, find the exact value of sin2θ. Log in Sign up. Find A Tutor . Search For Tutors. Request A Tutor. Online Tutoring. How … canola oil vs olive oil smoke pointWeb10 dec. 2024 · If tan theta= -3/4 and θ is in quadrant IV, cos2 theta= and tan2 theta= . See answers looking for cos² (θ) and tan² (θ) or cos (2θ) and tan (2θ) ? the second option cos … canon 5 jutaanWeb10 aug. 2024 · #7\sin ^ { 2} \theta + 3\cos ^ { 2} \theta = 4# #=>7\sin ^ { 2} \theta + 3\cos ^ { 2} \theta = 4(sin^2theta+cos^2theta)# #=>7\sin ^ { 2} \theta + 3\cos ^ { 2} \theta ... canon 10-22 vs tokina 11-16WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. canola öljy suomeksiWebAnalysis. This answer looks quite different from the answer obtained using the substitution x = tanθ. To see that the solutions are the same, set y = sinh−1x. Thus, sinhy = x. From … canon 4 jutaanWeb31 mrt. 2024 · If √3 tanθ = 3 sinθ, then the value of (sin 2 θ – cos 2 θ) is: 1 3 1/3 None of these Answer (Detailed Solution Below) Option 3 : 1/3 Crack CTET + State TET + PRT + … canola oil mayonnaiseWeb9 aug. 2024 · To find sin 2θ, we use the equation: sin 2θ = 2 sinθ cosθ. Since we are given cos θ, which is 3/5, we need to find sin θ. To find y, we need to use the Pythagorean Theorem. Since sin θ is negative in quadrant 4, the y-value of sin θ is negative. Therefore, sin θ = -4/5. Therefore, sin 2 theta is equal to -24/25. canon 18 55 kit lens