Web13 aug. 2024 · Detailed Solution. Download Solution PDF. Given secθ + tanθ = 4. we know that sec 2 θ – tan 2 θ = 1. ⇒ (sec θ + tan θ) (sec θ – tan θ) = 1. ⇒ 4 (sec θ – tan θ) = 1. … Web20 nov. 2024 · secant: It is the reciprocal of cos θ and is represented as sec θ. cotangent: It is the reciprocal of tan θ and is represented as cot θ. According to the above image, Trigonometric Ratios are Sin θ = Perpendicular / Hypotenuse = AB/AC Cosine θ = Base / Hypotenuse = BC / AC Tangent θ = Perpendicular / Base = AB / BC
[Solved] If sec θ – tan θ = x/y, (0 < x < y)
Web27 jun. 2024 · the secant is the inverse of the cosine so cos theta = 1/ (sec theta) = 3/4 sin ^2 theta + cos^2 theta = 1 (basic trig identity) sin ^2 theta + 9/16 = 1 sin ^2 theta = 7/16 sin theta = 7^0.5/4 since angle located in Quadrant IV, sin theta = -7^0.5/4 Upvote • 1 Downvote Comment • 1 Report Maggie D. thank you Report 06/27/20 WebIf sec θ = x + x 1 4 x, x ≠ 0, find (sec θ + tan θ) Advertisement Remove all ads Solution Given: Sec θ = x + x 1 4 x, x ≠ 0, Squaring both sides sec 2 θ = x x ( x + 1 4 x) 2 We … delivery beacon ny
If x = a sec^3 θ, y = a tan^3 θ, find dy/dx at θ = pi/4
Web21 apr. 2024 · Find csc θ and cot θ, given that sec θ = 5/4 and csc θ < 0. Log in Sign up. Find A Tutor . Search For Tutors. Request A Tutor. Online Tutoring. How It Works . ... If sec θ > 0 (or x > 0) and csc θ < 0 (or y <0) then the angle is found in the 4th quadrant. If sec θ = adjacent/ opposite = r/x = 5/4. WebIf s e c θ = x + 1 4 x then prove that, s e c θ + tan θ = 2 x or 1 2 x. Solution Step 1: Find the possible values of tan θ using trigonometric identities Given that: s e c θ = x + 1 4 x ∵ 1 + … WebTo use trigonometric functions, we first must understand how to measure the angles. Although we can use both radians and degrees, radians are a more natural … delivery beauty box