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State whether the following are true or false.Justify your answer:(ii)The value of `sintheta` increases as `theta`increases.

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R G PUBLICATION-INTRODUCTION TO TRIGONOMETRY-EXERCISE
  1. If tan(A+B)=sqrt3 and tan(A-B)=1/sqrt3:find A and B.

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  2. State whether the following are true or false.Justify your answer:(i)s...

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  3. State whether the following are true or false.Justify your answer:(ii)...

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  4. State whether the following are true or false. Justify your answer:(ii...

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  5. State whether the following are true or false.Justify your answer:(iv)...

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  6. State whether the following are true or false.Justify your answer:(v)c...

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  7. Evaluate:(i)Sin18^@/Cos72^@

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  8. Evaluate:(ii)tan26^@/Cot64^@

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  9. Evaluate:(iii)Cos48^@-Sin42^@

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  10. Evaluate:(iv)Cosec31^@-Sec59^@

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  11. Show that:(i)tan48^@tan23^@tan42^@tan67^@=1

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  12. Show that(ii)Cos38^@Cos52^@-Sin38^@Sin52^@=0

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  13. If tan2A=cot(A-18^@)where 2A is an acute angle,find the value of A.

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  14. If tanA=cotB,prove that A+B=90^@

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  15. If sec 4A=cosec(A-20^@),where 4A is an acute angle,find the value of A...

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  16. If A,B and C are interior angle of a triangle ABC,then show that sin(B...

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  17. Express sin67^@+cos75^@in terms of trigonometric ratios of angles betw...

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  18. Express the triangle ratio sinA,secA and tanA in terms of cotA.

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  19. Write all the other trigonometric ratios of angleA in terms of sec A.

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  20. Evaluate :(i)(Sin^2 63^@+Sin^2 27^@)/(Cos^2 17^@+Cos^2 73^@)

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