Question

EXAMPLE 1 If a = cos 2 and b= sin 7, then
(a) a > 0, b>0 (b) ab <0 (c) a >b
(d) a <b​

Answer 1

Step-by-step explanation:

Hi

The correct option is (c) ab <0 dear.

Explanation is provided below :-

cos2<0 as we know cos(pi/2)=0 and (pi/2)is somewhere around 1.57

so it lies in the second quadrant (where values lie for 1 to 4.71).

In second quadrant, cos value is negative .

sin7>0 as we know sin(pi/2)=1 and (pi)is somewhere around 6.28

so after one complete rotation it lies in the first quadrant (where values lie for 0 to 1.57) .

In first quadrant, sin value is positive.

so, ab<0 ,as a negative number multiplied by a positive number gives negative number .

Thankyou