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Evaluate the equation ;- cos 90^(@) s...

Evaluate the equation ;-
cos `90^(@) sin 0^(@) - sin 0^(@) cos 90^(@)`.

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To evaluate the expression \( \cos 90^\circ \sin 0^\circ - \sin 0^\circ \cos 90^\circ \), we will follow these steps: ### Step 1: Identify the values of trigonometric functions We need to know the values of \( \sin 0^\circ \) and \( \cos 90^\circ \). - \( \sin 0^\circ = 0 \) - \( \cos 90^\circ = 0 \) ### Step 2: Substitute the values into the expression Now we can substitute these values into the expression: \[ \cos 90^\circ \sin 0^\circ - \sin 0^\circ \cos 90^\circ = 0 \cdot 0 - 0 \cdot 0 \] ### Step 3: Simplify the expression Now we simplify the expression: \[ 0 \cdot 0 - 0 \cdot 0 = 0 - 0 = 0 \] ### Step 4: Write the final answer Thus, the value of the expression \( \cos 90^\circ \sin 0^\circ - \sin 0^\circ \cos 90^\circ \) is: \[ \boxed{0} \]
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VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-II)
  1. In DelatOPQ , right - angled at P , OP = 7 cm and OQ - PQ =1 cm . Dete...

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  2. In DeltaABC, right-angled at B, AB = 3 cm and angleBAC = 60^(@) . Dete...

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  3. Evaluate the equation ;- cos 90^(@) sin 0^(@) - sin 0^(@) cos 90^(@...

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  4. Evaluate the (cos 60^(@) - cot 45^(@) + "cosec" 30^(@))/(sec 60^(@...

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  5. 2sin^2(30^@) - 3cos^2(45^@)+tan^2(60^@)

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  6. Evaluate the cot^(2) 30^(@) - 2 cos^(2) 60^(@) - (3)/(4) sec^(2) 45...

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  7. Evaluate the (tan^(2) 60^(@) + 4 cos^(2) 45^(@) + 3 sec^(2) 30^(@) ...

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  8. Evaluate the (tan 45^(@))/("cosec" 30^(@)) + (sec 60^(@))/(cot 45^(...

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  9. Evaluate the equation:- (sec 70^(@))/("cosec" 20^(@)) + (sin 59^(@)...

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  10. Show that tan48^(@) tan 23^(@) tan 42^(@) tan 67^(@) =1.

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  11. Prove that : (i) (sin 70^@)/(cos 20^@)+(cosec 20^@)/(sec 70^@)-2cos ...

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  12. Evaluate : cos e c(65^0+theta)-sec(25^0-theta)-tan(55^0-theta)+cot(...

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  13. Evaluate the ((3 cos 43^(@))/(sin 47^(@)))^(2) - (cos 37^(@) "cosec...

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  14. If sec 2A=cosec (A-42^@), where 2A is an acute angle, find the value o...

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  15. If sin (A - B) = 0 , cos (A + B) = 0, 0^(@) lt A + B le 90^(@), find...

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  16. If tan (A + B) = sqrt(3) and tan (A - B) = 0, 0^(@) lt A + B le 90^(@...

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  17. Prove : ( 1+ tan^2 theta )(1 + sin theta )(1 - sin theta) = 1.

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  18. If sin theta+cos theta=sqrt3, then prove that tan theta+cot theta=1

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  19. .If alpha+beta=90^(@), show that sqrt(cos alpha*csc beta-cos alpha*sin...

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  20. If tan theta =a/b, prove that (a sin theta- b cos theta)/(a sin theta+...

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