Web1ST LECTURE 1. Tri Gon Metron 3 sides Measure Hence this particular branch in mathematics was developed in ancient past to measure 3 sides and 3 angles - 6 elements of a triangle. In today's time trigonometrical functions are used in entirely different shape. The 2 basic functions are sine and cosine of an angle in a right angled triangle and there are 4 … WebSep 13, 2024 · let cos(a+b)=4/5 and let sin(a-b)=5/13, where a, b lies in [0, pie/4] then tan 2a is equal to About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How ...
If cos(A+B) = 4/5 : sin(A-B) = 5/13 & A,B lie between 0 & - askIITians
WebFinal answer. Step 1/3. Here, we have been given : sinA = -5/13. A belongs to the 4th Quadrant. cosB = -4/5. B belongs to 2nd quadrant. Now to solve the following questions we need to first find cosA and sinB (as we will need them in the identities) . WebSolution given, cos (A+B) = 4/5, thus tan (A+B)=3/4. sin (A-B)=5/13,thus tan (A-B)=5/12. then tan (2A)=tan ( (A+B)+ (A-B)) = (tan (A+B)+tan (A-B))/ (1-tan (A+B)tan (A-B)) = … st peter the fisherman laurieton
let cos(a+b)=4/5 and let sin(a-b)=5/13, where a, b lies in …
WebDec 31, 2024 · cosine is 5/13 --> adjacent = 5 and hypotenuse = 13; then opposite is 12 So then sin (A) = 12/13, cos (A) = 5/13, and tan (A) = 12/5 Regarding angle B: sine is -12/13 --> opposite is -12 and hypotenuse =13; then adjacent is -5 So then sin (B) = -12/13, cos (B) = -5/13, tan (B) = 12/5 WebStep 1/3. Solution: Given sin A = 4 5 with A in quadrant I. We know that in quadrant I all trigonometric function is positive. So, cos A = 1 − ( 4 5) 2. => cos A = 1 − 16 25. => cos A = 3 5. And tan A = sin A cos A = 4 5 3 5 = 4 3. WebFinding the tangent formula follows the same method, either going through substitution into the sine and cosine formulas, or more directly, by making tan (-B) = - tan B. Either way you get: \displaystyle \tan (A - B) = \frac {\tan\ A - \tan\ B} {1 + \tan\ A\ \tan\ B} tan(A−B) = 1+tan A tan Btan A−tan B Ratios through the four quadrants rother levels