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(sin^(8)75^(@)-cos^(8)75^(@))=...

`(sin^(8)75^(@)-cos^(8)75^(@))=`

A

1

B

`(3sqrt(3))/(8)`

C

`(3sqrt(3))/(16)`

D

`(7sqrt(3))/(16)`

Text Solution

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The correct Answer is:
B
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Show that sin^(2) 75^(@) - sin^(2) 15^(@) = (sqrt(3))/(2)

Evaluate the following and justify your answer. (i) (sin ^(2) 15^(@) +sin ^(2) 75^(@) )/( cos ^(2) 36^(@) +cos ^(2) 54^(@))

Cos15^(@) - Cos75^(@) =

Tan75^(@) - Cot75^(@) =

cos 15^(@) - cos 75^(@) =

tan 75^(@) - cot 75^@=

Find the values of sin75^(@), cos75^(@), tan75^(@) and cot75^(@) .

( sin 75^(@) - sin 15^(@))/( cos 15^(@) - cos 75^(@))=

(cos75^(@)+isin75^(@))/(cos30^(@)+isin30^(@))

AAKASH SERIES-COMPOUND ANGLES-PRACTICE SHEET (EXERCISE - I) LEVEL - I
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  2. Assertion (A): tan40^(@) + tan 80^(@) - sqrt(3)tan 40^(@) tan80^(@)=-s...

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  3. Statement-I : If 0 lt alpha, beta lt pi/4, sin alpha =a/sqrt(1+a^(2)),...

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  4. I : If x cos theta = y cos (120^@ + theta ) = z cos ( theta + 240^(@)...

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  5. Statement I: If sin alpha = 12/13, (0 lt alpha lt pi/2) and cos beta =...

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  6. If A=35^(@) , B= 15^(@) and C=40^(@) , then tan A* tan B+ tan B* tan...

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  7. In an acute angled triangle, cot B cot C + cot A cot C + cot A cot B

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  8. Arrange the following values in the ascending order of P,Q,R. If A+B+C...

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  9. In triangle ABC, tan A + tan B + tan C = 6 and tanA tanB = 2, then the...

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  10. Statement I : If m cos(theta+alpha)=n cos (theta-alpha) then tan theta...

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  11. Let A=pi/7, B =(2pi)/7, C=(4pi)/7 and cosA cos B cosC=-1//8, then 2sum...

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  12. If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in

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  13. If 2sec2theta = tan phi + cot phi, then one of the values of theta + p...

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  14. If cos25^(@)+sin25^(@)=p, then cos 50^(@) is

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  15. Statement I : If A+B+C=pi (A,B,C gt 0) and the angle C is obtuse then ...

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  16. Match the following : {:(,"List - I",,"List - II"),((1),cot((pi)/(...

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  17. A=(cos9^(@)-sin9^(@))/(cos9^(@)+sin 9^(@)), B=(cos21^(@)+sin21^(@))/(c...

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  18. If tan""[(pi)/4 + theta ]+tan[(pi)/(4)- theta ]=a " then " tan^(3)[(pi...

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  19. (sin^(8)75^(@)-cos^(8)75^(@))=

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  20. If A, B, C are in A.P and and B=(pi)/(4) then tan A tan B tan C =

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