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If tanA=cotB and angles A and B are acut...

If tanA=cotB and angles A and B are acute, then

A

A=B

B

`A=90^(@)+B`

C

`B=90^(@)+A`

D

`A+B=90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Since tangent and cotangent are confunctions, `tanA=cot(90^(@)-A)`, so `B=90^(@)-A, and A+B=90^(@)`
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ENGLISH SAT-TRIGONOMETRIC FUNCTIONS-MCQs (Exercise)
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  8. If the graph in the figure below has an equation of the form y=sin(Mx+...

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  9. If sinx=(5)/(13) and cosx=-(12)/(13), find the value of sin 2x.

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  10. If tanA=cotB and angles A and B are acute, then

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  11. If cosx=(sqrt(3))/(2), find cos2x.

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  12. If sin37^(@)=z, express sin74^(@) in terms of z.

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  13. If sinx=-0.6427, what is csc x?

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  14. For what value(s) of x,0 lt x lt (pi)/(2), is sinxltcosx?

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  15. What is the range of the function f(x)=5-6sin(pix+1)?

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  16. Find the number of degrees is "sin"^(-1)(sqrt(2))/(2)

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  17. Find the number of radians in cos^(-1)(-0.5624)

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  18. Evaluate tan^(-1)(tan128^(@))

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  19. Which of the following is (are) true? I. sin^(-1)1+sin^(-1)(-1)=0 ...

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  20. Which of the following is a solution of cos3x=(1)/(2)?

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