Question

guys please answer fast
question no. 5​

Answer 1

Answer:

L.H.S=R.H.S Proved

Step-by-step explanation:

L.H.S = $L.H.S\\ = \frac{tan69 + tan66}{1-tan69tan66}\\ = tan(69+66)\\ = tan135\\=tan(180-45)\\= -tan45\\ = -1\\ Proved$

Note:

$Tan(A+B) = \frac{TanA + TanB}{1 -TanATanB}$

________________________________________________

Let me solve more,

4)  Find the value of sin315

Solution:

=sin315

=sin(360-45)

= -sin45

= $\frac{-1}{\sqrt{2} }$

________________________________________________

6)Find the greatest value of sintheta*costheta

Solution;

Since, value of sintheta ranges from (0 to 1) and value of costheta ranges from (-1 to 1). So, the greatest value of sintheta*costheta is:
= 1*1

= 1

________________________________________________