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Fill in the gaps with correct answer choosing from the brackets. `cos3theta+sin3theta` is maximum if theta = ____.`(60^@, 15^@, 45^@)`

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`15^@`
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MBD PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Fill in the gaps with correct answer . sin^2(24)^@-sin^2(6)^@ = .

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  2. Fill in the gaps with correct answer . sin70^@ (4cos^2(20)^@-3) = .

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  3. Fill in the gaps with correct answer choosing from the brackets. cos3t...

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  4. Fill in the gaps with correct answer. sin15^@-cos15^@ =

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  5. Fill in the gaps with correct answer . If theta lies in the third quad...

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  6. Fill in the gaps with correct answer choosing from the brackets. The ...

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  7. Fill in the gaps with correct answer choosing from the brackets. The ...

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  8. Prove the sinA.sin(B-C) + sinB.sin(C-A) + sinC.sin(A-B) = 0

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  9. Prove the cosA.sinB(B-C) + cosB.sin(C-A) + cosC.sin(A-B) = 0

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  10. Prove that (sin(B-C))/(sinB.sinC) + (sin(C-A))/(sinCsinA) + (sin(A-B))...

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  11. Prove that tan^2A - tan^2B = (sin(A+B).sin(A-B))/(cos^2A.cos^2B

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  12. Prove the tan75^@ + cot75^@ = 4

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  13. Prove that sin^2(18)^@ + cos^2(36)^@ = 3/4

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  14. Prove that sin18^@.cos36^@ = 1/4

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  15. Prove that sin15^@ = (sqrt3-1)/(2sqrt2)

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  16. Prove that cot((pi)/8) - tan((pi)/8) = 2

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  17. Prove that(cos9^@+sin9^@)/(cos9^@-sin9^@)=tan54^@

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  18. Prove the tan10^@+tan35^@+tan10^@.tan35^@ = 1

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  19. Prove that cot2A=(cot^2A-1)/(2cotA)

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  20. Prove that sinB/sinA=sin(2A+B)/sinA-2cos(A+B)

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