State whether the following are true or false. Justify your answer. (i) The value of tan A always less than 1. (ii) `secA=(12)/5` for some value of angle A (iii) cos A is the abbreviation used for the cosecant of angle A. (iv) cot A is the product of cot and A (v)`sin theta = 4/3` for some angle `theta`

State whether the following are true or false. Justify your answer. (i) sin (A+B)=sin A+sin B . (ii) The value of sintheta increases as theta increases. (iii) The value of costheta increases as theta increases. (iv) sintheta=costheta for all values of theta (v) cot A is not defined for A = 0^@

write whether the following statements are true or false , justify Your answer. (i) A binomial can have atmost two terms. (ii) Every polynomial is a Binomial . (iii) A binomial may have degree 5. (iv) zero of a polynomial is always 0. (V) A polynomial cannot have more then one zero. (vi ) the degree of the sum of tum polynomals each of degree 5 is wlways . 5

Verify whether the following are true or false . (i) -3 is a zero of x-3 (ii) -(1)/(3) is a zero of 3x+1 (iii) -(4)/(5) is a zero of 4-5y (iv) 0 and 2 are the zeroes of t^(2) -2t (v) -3 is a zero of y^(2)+y-6

If tanA = 12/5 and pi lt A lt (3pi)/(2) , find the values of the following: i) sin2A ii) cos2A iii) tan2A

State whether each of the following statement is true or false. Justify your answer.(i) { 2, 3,4, 5 } and { 3, 6} are disjoint sets, (ii) { a , e , i , o, u } and { a , b , c , d } are disjoint sets, (iii) { 2, 6, 10, 14 } and { 3, 7, 11, 15} are disjoint sets. (iv) { 2, 6, 10 } and { 3, 7, 11} are disjoint sets.

State whether each of the following statement is true or false. Justify your answer.(i) { 2, 3,4, 5 } and { 3, 6} are disjoint sets,(ii) { a , e , i , o, u } and { a , b , c , d } are disjoint sets, (iii) {2, 6, 10, 14} and {3, 7, 11, 15} are disjoints sets (iv) {2, 6, 10} and {3, 7, 11} are disjoint sets.

Write the negative of the following statements and chheck whether the resulting statements are true or false (i) The product of 4 and 8 is 12 (ii) Number of prime numbers are infinite (iii) China is a continent (iv) There does not exits a triangle has all its sides equal (v) All the angles of a regular polygon are equal

Given : 4 sin theta = 3 cos theta , find the value of : (i) sin theta (ii) cos theta (iii) cot^(2) theta - "cosec"^(2) theta (iv) 4 cos^(2) theta - 3 sin^(2) theta + 2

If 4 cos^(2) x = 3 and x is an acute angle find the value of : (i) x (ii) cos^(2)x + cot^(2)x (iii) cos 3x (iv) sin 2x

The value of sin1.cos2.tan3.cot4.sec5.cosec6 is