WebIf tan ( θ) - c o t ( θ) = a and sin ( θ) + cos ( θ) = b, then b 2 - 1 2 a 2 + 4 is equal to A 2 B ± 4 C - 4 D 4 Solution The correct option is D 4 Explanation for the correct option Given: tan ( θ) - … WebMar 31, 2024 · theta=pi/4, (3pi)/4, (5pi)/4, (7pi)/4 tantheta-cottheta=0 tantheta=cottheta Recall that the cotangent is simply the reciprocal of the tangent. tantheta=1/tantheta Cross-multiply: tan^2theta=1 Taking the root of both sides yields tantheta=+-1 Now, consider where the tangent function is equal to positive or negative one over [0, 2pi).
How do you write $\tan \theta -\cot \theta $ in terms of $\cos \theta
Webtan θ = 24 / 10 So , cot θ = 10 / 24 and csc θ = 26 / 24 Thus csc θ + cot θ = 3 / 2 . But I checked the answer sheet and the answer is not 3/2 but ( 3 + 5) / 2 . Where have I went wrong ? Please help. trigonometry Share Cite Follow asked Aug 10, 2013 at 17:43 A Googler 3,195 5 28 51 Show 4 more comments 4 Answers Sorted by: 13 WebWe wish to prove the following trig identity: 1 − tan (θ) cos (θ) + 1 − cot (θ) sin (θ) = sin (θ) + cos (θ) a. First, begin by rewriting each of the trig functions on the left hand side of the equality in terms of only sines and cosines (for example, rewrite tan (x) as cos (x) sin (x) ): 1 − tan (θ) cos (θ) + 1 − cot (θ) sin (θ) = b. Rewrite your expression from part (a) by ... triple chocolate cake with red velvet oreo
Solve csc(θ) Microsoft Math Solver
WebJun 14, 2016 · Given, tan theta= cot (30+theta) can be written as, tan theta = tan (90 - (30 + theta)) tan theta = tan (90 - 30 - theta) theta = tan 60 - theta theta + theta = 60 theta = 60/2 theta = 30. Hope this helps! Find Math textbook solutions? Class 5 Class 4 Class 3 Class 2 Class 1 NCERT Class 9 Mathematics 619 solutions NCERT Class 8 Mathematics WebTanθ is the ratio altitude and base of a right triangle, and Cotθ is the ratio of the base and altitude of a right triangle. Cotθ = 1/Tanθ Let us try out a few examples to better understand the Cot-Tan Formula. Solved Examples on Cot - Tan Formula Example 1: The value of \ (Tan \theta = \frac {4} {7} \). Find the value of \ (Cot \theta \). WebJun 1, 2024 · Verify the identity: \(\tan(2 \theta)=2\cot \theta−\tan \theta\) Solution. In this case, we will work with the left side of the equation and simplify or rewrite until it equals the right side of the equation. triple chocolate chip muffins