Answer:
sin θ . tan θ
Step-by-step explanation:
Note : -
sec ( - θ ) = sec θ
Formula / Identity : -
sec θ = 1 / cos θ
sec ( - θ ) - cos θ
= [ 1 / cos θ ] - cos θ
{ LCM = cos θ }
= [ 1 / cos θ ] - [ cos²θ / cos θ ]
= [ 1 - cos²θ ] / cos θ
{ 1 - cos²θ = sin²θ }
= sin²θ / cos θ
{ sin²θ = sin θ . sin θ }
= sin θ . sin θ / cos θ
{ sin θ / cos θ = tan θ }
= sin θ . tan θ
Hence, simplified.
We need to perform multiplication and addition property for this problem to represent the final result in decimal form. So, the expression is,
9x100+2x10+3x0.1+7x0.001 .
Now 9 x 100= 900
2 x= 10= 20
3x0.1= 0.3
7x 0.001=0.007
Now we can all the numbers. Hence,
900+20+0.3+0.007=920.307
So, the decimal number is 930.307.
