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What is the value of sin^(2) 15^(@) + si...

What is the value of `sin^(2) 15^(@) + sin^(2) 20^(@) + sin^(2)25^(@) + ……… + sin^(2) 75^(@)` ?

A

`tan^(2) 15^(@) + tan^(2) 20^(@) + tan^(2)25^(@)+ ………. = tan^(2) 75^(@)`

B

`cos^(2) 15^(@) + cos^(2) 20^(@) = cos^(2) 25^(@) + ……. + cos^(2) 75^(@)`

C

`cot^(2) 15^(@) - cot^(2) 20^(@) + cot^(2) 25^(@) + …….. + cot^(2) 75^(@)`

D

`sec^(2) 15^(@) + sec^(2) 20^(@) + sec^(2) 25^(@) + ……. + sec^(2) 75^(@)`

Text Solution

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The correct Answer is:
B
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LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
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  2. What is the value of , [(1-sin^(2)theta)sec^(2)theta +tan^(2)theta](co...

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  3. What is the value of sin^(2) 15^(@) + sin^(2) 20^(@) + sin^(2)25^(@) +...

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  4. What is sqrt((1 + sin theta)/(1 -sintheta)) equal to ?

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  5. If theta^(@) lt theta lt 90^(@) and (sin theta)/(cos theta) + (cos the...

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  6. If sin 3 theta = cos (theta - 2 ^(@)) where 3 theta and (theta - 2 ^(@...

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  7. What is ( sin ^(6) theta - cos ^(6) theta )/( sin ^(2) theta - cos ^(2...

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  8. If sin^(4)x + sin^(2) x =1, then the value of cot^(4)x + cot^(2)x is:

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  9. If x cos theta + y sin theta =2 and x cos theta - y sin theta =0, then...

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  10. Expression sin A (1 + tan A) + cos A(1+ cot A) is equal to:

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  11. If 0^(@) lt theta lt 90^(@) and cos^(2) theta - sin^(2) theta = 1/2,th...

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  12. If 3 sin theta + 4 cos theta = 5, then 3 cos theta - 4 sin theta is eq...

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  13. (1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)...

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  14. For 0^(@) lt theta lt 90^(@) which of the following expression is of t...

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  15. If a cos theta - b sin theta =c, then prove that a sin theta + b cos t...

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  16. Expression tan^(2)alpha + cot^(2)alpha is:

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  17. Find maximum value of sin^(8)theta+cos^(14)theta.

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  18. If P = 1/2 sin^(2)theta + 1/3 cos^(2)theta, then

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  19. Minimum value of 5costheta + 12 is:

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  20. If asin^(3)theta + bcos^(3)theta = sin theta costheta, 0 lt theta lt 9...

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