Answer:cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;
tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)
… = sin²(x) (1/cos²(x) - 1)
… = sin²(x) (sec²(x) - 1)
… = sin²(x) tan²(x)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan12° =
=
=
( multiply both sides by 44 )
44 × tan12° = AC , then
AC ≈ 9.35 ( to 2 dec. places )
Answer: The decimal 0.88888.... represented by the fraction 
Step-by-step explanation:
Since we have given that
0.888888....
So, Let x = 0.88888....=
-----(1)
Now, multiply by 10 on both sides, we get that

Now, Subtracting (1) from (2), we get that

Hence, the decimal 0.88888.... represented by the fraction 
Answer: 
Step-by-step explanation:
<em>Area of trapezium = </em>
2X = 2 + 2 = 4 cm
2Z = 5 + 5 = 10 cm
Y = 5 cm

|
|--------> 35 
Answer:
- B. BC = 18 so ∆ABC ~ ∆DEF by SAS
Step-by-step explanation:

So, ∆ABC ~ ∆DEF by SAS.
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