sin 30 + tan 45 - Cos 60 upon sec 30 + Cos 60 + cot 45
Answers
[sin (30°) + tan (45°) - cos (60°)]
--------------------------------------------------
[sec (30°) + cos (60°) + cot (45°)]
[(1/2) + (1) - (1/2)]
= ----------------------------------------------------
[ ( root (3 )/ 2 ) + (1/2) + (1)]
By solving it,
2
= ---------------------
( root (3) +3)
By rationalising the denominator,
2root (3 )- 6
= --------------------------
3 - 9
2 [ 3 - root (3)]
= -----------------------
6
3- root (3)
= --------------------
3
= 1 - root (3)/3
= 1- 0.57
= 0.43
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Answer is 0.43
It is quite simple just put values of above .
I want to tell you trick of this .May be you know that.
For sin we have to write .
0 1 2 3 4
Then we have to divide it by 4.
0 1/4 1/2 3/4 1
Then we take square root on it.
0 1/2 1/root (2) root(3)/ 2 1
0° 30° 45° 60° 90°[ For]
Then we can find any value .
*for cos, reverse series.
*for tan ,divide series of sin by series of cos
*for cot,sec and cosec , reciprocal the series of tan ,cos and sin respectively.