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If sintheta+cosectheta=2, then "sin"^(2)...

If `sintheta+cosectheta=2`, then `"sin"^(2)theta+"cosec"^(2)theta` is equal to

A

1

B

4

C

2

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
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ICSE-TRIGONOMETRIC FUNCTION-MULTIPLE CHOICE QUESTIONS
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  2. The value of "cos"((3pi)/2+x)."cos"(2pi+x)["cot"((3pi)/(2)-x)+"cot"(2p...

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  3. If sintheta+cosectheta=2, then "sin"^(2)theta+"cosec"^(2)theta is equa...

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  4. If f(x)="cos"^(2)x+"sec"^(2)x, then (i) f(x)lt1 (ii) f(x)=1 (iii...

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  5. If tantheta=1/(2) and tanphi=1/(3), then the value of (theta+phi) is

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  6. Which of the following is not correct ?

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  7. The value of "cos"1^(@)."cos"2^(@)."cos"3^(@)......."cos"179^(@) is

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  8. The value of "tan"1^(@)."tan"2^(@)."tan"3^(@)......."tan"89^(@) is

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  9. The value of "tan"75^(@)-"cot"75^(@) is equal to

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  10. Which of the following is correct ?

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  11. The value of "tan"5A-"tan"3A-"tan"2A is equal to

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  12. The value of "sin"(45^(@)+ theta)-"cos(45^(@) - theta) is

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  13. The value of "cot"(pi/(4)+theta)."cot"(pi/(4)-theta) is (i) -1 (ii...

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  14. "cos"2theta."cos"2phi+"sin"^(2)(theta-phi)-"sin"^(2)(theta+phi) is equ...

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  15. If for real x, "cos"theta=x+(1)/(x), then

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  16. If "tan"A=1/(2),"tan"B=1/(3), then "tan"(2A+B) is equal to

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  17. If alpha+beta=pi/(4), then (1+"tan"alpha)(1+"tan"beta) is

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  18. If "sin"theta=-4/(5) and theta lies in third quadrant, then the value ...

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  19. The greatest value of "sin"x."cos"x is

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  20. acosx+bsinx lies between

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