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Prove that sin^4 theta - cos^4 theta = ...

Prove that `sin^4 theta - cos^4 theta` = `1 - 2cos^2 theta`

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CHETANA PUBLICATION-Arithmetic Progression-EXERCISE
  1. Prove that sin^4 theta - cos^4 theta = 1 - 2cos^2 theta

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  2. The sequence -10,-6,-2,2,….. a)is an A.P, Reason d=-16 b)is an A.P, Re...

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  3. First four terms of an A.P are…………, whose first term is -2 and common ...

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  4. What is the sum of first 30 natural numbers? a)464 b)465 c)462 d)461

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  5. For a given A.P., t7=4, d=-4 then a=……… a)6 b)-7 c)20 d)28

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  6. For a given AP, a=3.5, d=0, n=101 then tn=………. a)0 b)103.5 c)104.5 d)...

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  7. In an A.P, first two terms are -3, 4, then 21st term is……….a)-143 b)14...

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  8. If for an A.P, d=5 then t18-t13=……………a)5 b)20 c)25 d30

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  9. Sum of first five multiples of 3 is……a)45 b)15 c)55 d)35

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  10. 15, 10, 5,…… In this A.P the sum of first 10 terms is…..a)-75 b)-125 c...

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  11. In an A.P, 1st term is 1 and the last term is 20.The sum of all terms ...

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  12. For the A.P: 4,9,14…… t11=…..a)49 b)54 c)59 d)44

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  13. If a=6, d=3, then S10=……a)192 b)195 c)198 d)201

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  14. The sum of first 10 natural numbers is ..... a)55 b)155 c)310 d)210

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  15. Which of the following sequence is not an A.P? a)0.5,2,3.5,5,…. b)3,5,...

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  16. Find the missing term in the A.P: -5, ...., 13 a)1 b)4 c)2 d)3

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  17. Find the t2 of the sequence for which S1=2,S2=12 and S3=30 a)24 b)1 c)...

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  18. For an A.P if t4=12 and d=-10, then find a. a)-18 b)42 c)-5 d)21

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  19. The next two terms of the given sequence 1,3,7,15,31….. are: a)42, 54 ...

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  20. In an A.P, a=8, tn=62, Sn=210, then find n. a)5 b)6 c)7 d)8

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  21. The sum of first n terms of an A.P. is Sn=………… a)n/2[t1+tn] b)n/2[2+(n...

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