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sin^2 17. 5^(@)+sin^2 72. 5^(@) is equa...

`sin^2 17. 5^(@)+sin^2 72. 5^(@)` is equal to

A

`cos^(@) 90^(@)`

B

`tan^(@) 45^(@)`

C

`cos^(2) 30^(@)`

D

`sin^(2) 45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`sin^(2)17.5^(@) +sin^(2) 72.5^(@) =sin^(2) 17.5^(@) +cos^(2) 17.5^(@)" " therefore sin(90^(@) -theta)=cos theta]`
` = 1= tan^(2) 45^(@)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-TRIGONOMETRIC FUNCTIONS -EXERCISE 1 Trigonomertric Ratio of Allied Angle
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  3. Find the value of 1 cos(29pi//3)

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  5. The value of (cot 54^(@))/(tan 36^(@)) + (tan 20^(@))/(cot 70^(@)) is

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  6. The value of cos 480^(@) sin 150^(@) + sin 600^(@) cos 390^(@) is

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  7. Find the value of cos^2pi/(16)+cos^2(3pi)/(16)+cos^2(5pi)/(16)+cos^2(7...

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  8. sin^2 17. 5^(@)+sin^2 72. 5^(@) is equal to

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  9. If cos theta = - sqrt3/2 and sin prop = - 3/5, " where " theta does n...

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  10. If tan theta = 1/sqrt7 " then" ((cosec^(2) theta -sec^(2) theta))/((c...

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  11. cos 1^(@) + cos2^(@) + cos 3^(@) + ….+cos 180^(@) is equal to

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  12. If DeltaABC " if" angleA = pi/2 " then" cos^(2)B + cos^(2) C equals

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  13. If DeltaABC is a right angled at C, then tan A + tan B is equal to

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  14. If sin A-sqrt6 cos A = sqrt7 cos A , " then " cos A + sqrt6 sin A i...

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  15. If sin A + sin B + sin C = 3, then cos A + cos B + cos C is equal to

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  16. If a Delta PQR " if" 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1 , ...

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  17. The value of cos (270^(@) + theta) cos ( 90^(@) -theta) -sin (270^(@) ...

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