WebPut in the values we know: a/sin A = 7/sin (35°) = c/sin (105°) Ignore a/sin A (not useful to us): 7/sin (35°) = c/sin (105°) Now we use our algebra skills to rearrange and solve: Swap sides: c/sin (105°) = 7/sin (35°) Multiply both sides by sin (105°): c = ( 7 / sin (35°) ) × sin (105°) Calculate: c = ( 7 / 0.574... ) × 0.966... http://www.math.com/tables/trig/identities.htm
Simplify (tan(x))/(sec(x)) Mathway
WebSimplify (tan(x))/(sec(x)) Step 1 Rewrite in termsof sinesand cosines. Step 2 Rewrite in termsof sinesand cosines. Step 3 Multiplyby the reciprocalof the fractionto divideby . Step 4 Write as a fractionwith denominator. Step 5 Cancel the common factorof . Tap for more steps... Cancel the common factor. Rewrite the expression. Cookies & Privacy WebSystematic study of trigonometric functions began in Hellenistic mathematics, reaching India as part of Hellenistic astronomy. In Indian astronomy, the study of trigonometric functions flourished in the Gupta period, especially due to Aryabhata, who discovered the … systems limited ceo
Simplify (tan(x))/(sin(x)) Mathway
WebMay 26, 2024 · Answer: i. sin (C) = ii. tan (C) = iii. sin (B) = Step-by-step explanation: Given a right angled triangle ABC, with a right angle at A. WebSep 21, 2016 · 1 If cosA = tanB, cosB = tanC and cosC = tanA, prove that sinA = sinB = sinC. My Attempt. Let us consider x, y and z as:. x = tan2A y = tan2B z = tan2C cos2A = tan2B 1 sec2A = tan2B 1 1 + tan2A = tan2B 1 1 + x = y (1 + x)y = 1 Similarly, (1 + y)z = 1 (1 + z)x = 1 Please help me to continue from here. trigonometry Share Cite Follow WebThe other four trigonometric functions (tan, cot, sec, csc) can be defined as quotients and reciprocals of sin and cos, except where zero occurs in the denominator. It can be proved, for real arguments, that these definitions coincide with elementary geometric definitions if the argument is regarded as an angle given in radians. [6] systems life cycle investigation and analysis