Question

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8. 3) Which is bigger: sin 55° or cos 55°?
(ii) If 0 = 100°, determine the sign of (sin 0 + cos ).​

Answer 1

  Hey mate....

## The bigger is sin 55 since

      sin 30 = 1/2 and cos 30 =  $\sqrt{3}$/2

     but as we increase the angle the value of sin angle increase and cos angle decrease

     like  sin 60 =$\sqrt{3$/2 and cos 60 = 1/2

 

## sign of ( sin 100+ cos 100)=?

    first, sin 100+ cos 100= sin ( 90+10 )+cos(90+10)

            sin 100+ cos 100 = cos 10 - sin 10 .  ____EQN

         if    0< Θ < 45

            cosΘ > sin Θ

            cos 10 > sin 10

           cos 10 - sin 10 > 0

       

    So , by the eqn above,  

THE SIGN OF ( sin 100 + cos 100) = cos 10 - sin 10 > 0.

  SIGN IS POSITIVE (+ve).

   

HOPE MY ANSWER HELPS U...