36. If sin alpha + sin beta is equal to a and cos alpha + cos beta is equal to b then find value of cos alpha + beta and sin alpha + beta
![Let alpha (a) and beta (a) be the roots of the equation ( √(1 + a) - 1)x^2 + (√(1 + a) - 1) x + (√(1 + a) - 1) = 0 where a> - 1. Then limit a→0^ + alpha (a) and limit a→0^ + beta (a) are Let alpha (a) and beta (a) be the roots of the equation ( √(1 + a) - 1)x^2 + (√(1 + a) - 1) x + (√(1 + a) - 1) = 0 where a> - 1. Then limit a→0^ + alpha (a) and limit a→0^ + beta (a) are](https://haygot.s3.amazonaws.com/questions/1425955_1032063_ans_29b15b3ae233436186aa6eb67d44b9b6.jpg)
Let alpha (a) and beta (a) be the roots of the equation ( √(1 + a) - 1)x^2 + (√(1 + a) - 1) x + (√(1 + a) - 1) = 0 where a> - 1. Then limit a→0^ + alpha (a) and limit a→0^ + beta (a) are
![Let alpha and beta be the roots of equation x^2 - 6x - 2 = 0 . If an = alpha^n - beta^n , for n≥ 1 , then the value of a10-2a_82a9 is equal to? Let alpha and beta be the roots of equation x^2 - 6x - 2 = 0 . If an = alpha^n - beta^n , for n≥ 1 , then the value of a10-2a_82a9 is equal to?](https://haygot.s3.amazonaws.com/questions/1562679_1735637_ans_0ab89ed4c67a450bbbfcd9bda3f6eb14.jpg)
Let alpha and beta be the roots of equation x^2 - 6x - 2 = 0 . If an = alpha^n - beta^n , for n≥ 1 , then the value of a10-2a_82a9 is equal to?
If α and β are the zeros of the quadratic polynomial f(x) = ax^2 + bx + c, then evaluate: (vii) β/(αα+)+α/(αβ+) - Sarthaks eConnect | Largest Online Education Community
![If sin alpha + sin beta = a and cos alpha + cos beta = b, show that cos (alpha + beta ) = b^2 - a^2b^2 + a^2 If sin alpha + sin beta = a and cos alpha + cos beta = b, show that cos (alpha + beta ) = b^2 - a^2b^2 + a^2](https://haygot.s3.amazonaws.com/questions/1410367_1664496_ans_0b1fb2b3811b4b359d0ad6fd0e8cf14b.jpg)