Sec theta - tan theta/ sec theta + tan theta
WebExpert Answer. 1st step. All steps. Final answer. Step 1/2. Solution. View the full answer. Step 2/2. WebBeginning with $1+\sin \theta = \sqrt{3} \cos \theta$, we can use the identity $\sin^2 \theta + \cos^2 \theta = 1$ to obtain $$1+\sin \theta = \sqrt{3(1-\sin^2\theta)} \\ \Rightarrow 1 + 2\sin \theta + \sin^2 \theta = 3-3 \sin^2 \theta \\ \Rightarrow 4\sin^2 \theta + 2 \sin \theta - 2 = 0$$ Now you have an quadratic equation for $\sin \theta$ which you can solve by …
Sec theta - tan theta/ sec theta + tan theta
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Websec θ + 1 = 0 cos θ = − 1 θ = 2 k π + π Where, k is any integer & cos − 1 ( 1 3) = 1.231 Your answers are obtained as follows, θ = 2 k π + cos − 1 ( 1 3) = 2 k π + 1.231 θ = 2 k π + 2 π − cos − 1 ( 1 3) = 2 k π + 5.052 (since, cos θ = cos ( 2 π − θ)) & θ = 2 k π + π Share Cite answered Aug 5, 2015 at 21:42 Harish Chandra Rajpoot 37k 91 78 115 WebFind the value of sec 150°. Solution: sec 150° = sec (180 - 30)° = - sec 30°; since we know, sec (180° - θ) = - sec θ = - \(\frac{2}{√3}\) 2. Find the value of tan 120°. Solution: tan 120° = tan (180 - 60)° = - tan 60°; since we know, tan (180° - θ) = - tan θ
http://www.math.com/tables/trig/identities.htm WebAs we know sec 2 θ − tan 2 θ = 1, then, (sec θ − tan θ) (sec θ + tan θ) = 1. sec θ − tan θ = sec θ + tan θ 1 sec θ − tan θ = p 1 .....(1) sec θ + tan θ = p.....(2) Add equation (1) and (2), sec θ …
WebExplanation: r = secθ ⇒ rcosθ = 1. Now, use the conversion formula ; x = rcosθ,y = rsinθ ... In trig substitutions, why favor sin, tan, sec, sinh, cosh, tanh over cos, cot, csc, etc? … Web7 years ago. The easiest way is to see that cos 2φ = cos²φ - sin²φ = 2 cos²φ - 1 or 1 - 2sin²φ by the cosine double angle formula and the Pythagorean identity. Now substitute 2φ = θ into those last two equations and solve for sin θ/2 and cos θ/2.
Web9 Mar 2024 · See Below LHS : tan theta csc theta =sin theta/cos theta * 1/sin theta =cancelsin theta/cos theta * 1/cancelsin theta =1/cos theta =sec theta =RHS
WebSimplify (tan(theta))/(sec(theta)) Rewrite in termsof sinesand cosines. Rewrite in termsof sinesand cosines. Multiplyby the reciprocalof the fractionto divideby . Write as a … s5 breastwork\u0027sWeb16 Aug 2024 · Here, i am holding the "THETAS" as "A". So, we can proceed our solution as under : (tan A + sec A - 1)/ (tan A - sec A + 1) = (tan A + sec A - sec²A + tan²A)/ (tan A - sec … is gap a manufacturing businessWeb6 Oct 2024 · Adding equations (1) and (2) :- secθ - tan θ = 4 secθ + tan θ = 1/4 --------------------------- 2sec θ = 4 + 1/4 2sec θ = 17/4 secθ = 17/4*2 = 17/8 we know that cos θ = 1/sec θ = 1/ (17/8) = 8/17 Proved ! plz answer to that quetsion If tan squared theta+3=3 sec theta,0 less than theta less than 90.find theta :) tq a lot thts all Advertisement is gap a good stock to buyWeb15 Feb 2024 · Prove that (cosec theta-sec theta)(cot theta-tan theta)=(cosec theta+sec theta)(sec theta cosec theta-2) trigonometry; class-10; Share It On Facebook Twitter Email. 2 Answers +3 votes . answered Feb 15, 2024 by Vikash Kumar (261k points) selected Jun 29, 2024 by Vikash Kumar . Best answer ... is gap american madeWebStep 1: Given information. sec θ + tan θ = k.... 1. Step 2: Simplification and calculate the value of cos θ. As we know that the trigonometrical ratio formula. sec 2 θ - tan 2 θ = 1. sec θ + tan θ sec θ - tan θ = 1 ∵ a 2 - b 2 = a + b a - b. From equation 1, put the value of sec θ + tan θ = k. ⇒ k sec θ - tan θ = 1 ⇒ sec θ ... s5 breakthrough\u0027sWebWe can read trigonometric definitions right from the triangle as corresponding ratios of sides. Specifically, for angle θ, tan θ = y x, and sec θ = r x. We can now write, 1 + tan 2 θ = … s5 buck\u0027s-hornWebSolve 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. s5 briefcase\u0027s