Find the value of tan pi by 8
WebFind the value of tan π 8. Solution Let θ= π 8 then 2θ= π 4 tan2θ= 2tanθ 1−tan2θ ⇒ tan π 4 = 2tan π 8 1−tan2 π 8 ⇒1 = 2 tan π 8 1−tan2 π 8 Let y= tan π 8 ⇒ 1= 2y 1−y2 ⇒1−y2 = 2y ⇒ y2+2y−1=0 The above equation is of the form ax2+bx+c =0 a =1,b =2,c= −1 ∴ y= −b±√b2−4ac 2a ⇒ y= −2±√(2)2−4(1)(−1) 2×1 ⇒ y= −2±√4+4 2×1 ⇒ y= −2±2√2 2 ⇒y … WebFind the value of `tan (pi/8)`Welcome to Doubtnut. Doubtnut is World’s Biggest Platform for Video Solutions of Physics, Chemistry, Math and Biology Doubts wi...
Find the value of tan pi by 8
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WebFind the Exact Value cot (pi/8) cot(π 8) Rewrite π 8 as an angle where the values of the six trigonometric functions are known divided by 2. cot(π 4 2) Apply the reciprocal identity. 1 tan(π 4 2) Apply the tangent half - angle identity. 1 ± √1 - cos(π 4) 1 + cos( π 4) Change the ± to + because cotangent is positive in the first quadrant. WebClick here👆to get an answer to your question ️ Write the principal value of tan^-1 (tan 9pi8 ) Solve Study Textbooks Guides. Join / Login >> Class 12 >> Maths >> Inverse Trigonometric Functions >> Properties of Inverse Trigonometric Functions
WebFind the Exact Value cos(pi/8) Rewrite as an anglewhere the values of the six trigonometric functionsare known divided by . Apply the cosinehalf-angleidentity. Change the to because cosineis positive in the first quadrant. The exact value of is . Simplify . Tap for more steps... Write as a fractionwith a common denominator.
WebTrigonometry Find the Exact Value tan (pi/8) tan ( π 8) tan ( π 8) Rewrite π 8 π 8 as an angle where the values of the six trigonometric functions are known divided by 2 2. tan( π 4 2) tan ( π 4 2) Apply the tangent half - angle identity. ± ⎷ 1−cos(π 4) 1+cos(π 4) ± 1 - … WebQuadratic equation. x2 − 4x − 5 = 0. Trigonometry. 4sinθ cosθ = 2sinθ. Linear equation. y = 3x + 4. Arithmetic. 699 ∗533. Matrix.
Web∴ tan pi = tan π = tan (180°) = 0 Explanation: For tan pi, the angle pi lies on the negative x-axis. Thus, tan pi value = 0 Since the tangent function is a periodic function, we can represent tan pi as, tan pi = tan (pi + n × pi), n ∈ Z. ⇒ tan pi = …
WebOct 18, 2016 · cos( π 8) = √2 + √2 2 Explanation: Let us assume π 8 = A and then 2A = π 4 Now as cos2A = 2cos2A− 1, we have cos( π 4) = 2cos2A− 1 or 2cos2A = 1 + 1 √2 = √2 +1 √2 or 2cos2A = √2 +1 2 √2 Multiplying numerator and denominator by √2 on RHS cos2A = 2 + √2 4 or cosA = √ 2 +√2 4 or cos( π 8) = √2 +√2 2 Answer link the temple stephen spenderWebOct 23, 2024 · Find the value of `tan (pi/8)`Welcome to Doubtnut. Doubtnut is World’s Biggest Platform for Video Solutions of Physics, Chemistry, Math and Biology Doubts wi... the temple stranraerWeb7. sin θ = 21/29, 0 service charge accountant jobsWebFind the exact value of sin(θ) and tan(θ) if you know that cos(θ)=−73 and π≤θ≤23π. Show your work. sin(θ)= tan(θ)= Show transcribed image text. Expert Answer. Who are the … the temple steven universeWebPopular Problems. Trigonometry. Find the Exact Value tan ( (7pi)/8) tan ( 7π 8) tan ( 7 π 8) Rewrite 7π 8 7 π 8 as an angle where the values of the six trigonometric functions are known divided by 2 2. tan( 7π 4 2) tan ( 7 π 4 2) Apply the tangent half - angle identity. ± ⎷ 1−cos(7π 4) 1+cos(7π 4) ± 1 - cos ( 7 π 4) 1 + cos ( 7 π 4) the temple storeWebtan(8π)=tan( 8180)tan( 245)tan 2A= sinA1−cosASo,Nowtan 245= sin451−cos45= 211− 21= 21 2(2−1)tan(8π)= 2−1. the temples of abu simbel factsWebApr 4, 2024 · Hint: In the above question, we were asked to find the exact value of ran pi/8 using the half-angle formula. We will use tan ( θ 2) = 1 − cos θ sin θ , this is the half-angle formula for tan. We will substitute θ 2 with π 8. So, let’s see how we can solve this problem. The half-angle formula for tangent can be written as: tan ( θ 2 ... service charge accountant role