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If sinx =cosx and x is acute, state the ...

If `sinx =cosx` and x is acute, state the value of x.

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The correct Answer is:
`45^(@)`
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ICSE-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES-EXERCISE 23(A)
  1. Prove that : sin60^(@)=2sin30^(@)cos30^(@).

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  2. Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)...

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  3. If sinx =cosx and x is acute, state the value of x.

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  4. If secA=cosecA" and "0^(@) le A le 90^(@), state the value of A.

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  5. If tantheta=cottheta" and "0^(@) le theta le 90^(@), state the value o...

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  6. If sinx=cosy, write the relation between x and y, if both the angles x...

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  7. If sinx=cosy, then x+y=45^(@), write true or false.

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  8. sectheta.cottheta=cosectheta, write true or false.

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  9. For any angle theta, state the value of : " "sin^(2)theta+cos...

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  10. State for any acute angle theta whether : sintheta increases or decr...

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  11. State for any acute angle theta whether : costheta increases or decr...

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  12. State for any acute angle theta whether : tantheta increases or decr...

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  13. If sqrt(3)=1*732, find (correct to two decimal places) the value of th...

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  14. Evaluate : (cos3A-3cos4A)/(sin3A+2sin4A)," when "A=15^(@).

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  15. Evaluate : (3sin3B+2cos(2B+5^(@)))/(2cos3B-sin(2B-10^(@))), when B...

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  16. Find the value of : sin30^(@)cos30^(@)

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  17. Find the value of : tan30^(@)tan60^(@)

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  18. Find the value of : cos^(2)60^(@)+sin^(2)30^(@)

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  19. Find the value of : cosec^(2)60^(@)-tan^(2)30^(@)

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  20. Find the value of : sin^(2)30^(@)+cos^(2)30^(@)+cot^(2)45^(@)

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