please answer my questions
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Answers
Answer:
This is the answer.
First , break tan, sec, cosec and cot then simplify as usual.
Heya Friend
Here is your answer !!
1) ( sin ² 63° + sin ² 27° ) / ( cos ² 17° + cos ² 73° )
= { sin ² 63° + sin ² ( 90 - 63 ) ° } / { cos ² 17° + cos ² ( 90 - 17 ) ° }
= ( sin ² 63° + cos ² 63° ) / ( sin ² 17° + cos ² 17° )
= 1 / 1
= 1 ........... ( Answer ) .
Note :
1 ) sin² X + cos² X = 1
2 ) sin X° = cos ( 90 - X )°
2) we need a formula which is
sin( A + B ) = sinAcosB + cosAsinB
Given us,
sin25cos65 + cos25sin65
= sin( 25 + 65 )
= sin90
= 1
3) "Sec^2 theta and cosec^2 theta are tan and cot forms then apply Am greater are equal to GM.
Composite of the square function are secant function based on the Item, Value with the second derivative having impact on 2\sec^4x + 4\sec^2x \tan.
When comparing to all the aspects are derived accordingly
9 sec^2x - 9tan^2x = 9 (sec^2x -tan^2x) = 9×1= 9
"
4) For simplication, use s=sinθ , c=cosθ ,
(1+cotθ-cosecθ)(1+tanθ+secθ)
={1+c/s-1/s}{1+s/c+1/c}
=(s+c-1)(c+s+1)
={(s+c)-1}{(s+c)+1}
=(s+c)²-1
=(s²+c²)+2sc-1
=(1)+2sc-1
=2sc
=2sinxcosx
=sin2x
Answer-----2
5) In paper
6) Given us,
( secA + tanA ) ( 1 - sinA )
we know that
secA = 1/cosA
tanA = sins/cosA
now
( 1 /cosA + sinA /cosA ) ( 1 - sinA )
= ( 1 + sinA ) ( 1 - sinA )/ cosA
= 1² - sin²A / cosA
= cos²A / cosA
= cosA
RHS
Hope helps
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