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State whether the following are true or false. Justify your answer. (i) The value of tan A always less than 1. (ii) `secA=(12)/5` for some value of angle A (iii) cos A is the abbreviation used for the cosecant of angle A. (iv) cot A is the product of cot and A (v)`sin theta = 4/3` for some angle `theta`

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State whether the following are true or false. Justify your Solution. The value of tan A is always less than 1.

State whether the following are true or false. Justify your Solution. sec=12/5 for some value of angle A.

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RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
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  6. Evaluate the following expressions: 2sin^2 30otan60o-3cos^2 60osec^...

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  7. Evaluate the following expressions: 4cot^2 45o-sec^2 60o+sin^2 60o+...

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  8. Evaluate each of the following: (sin^2 45o+cos^2 45o)/(tan^2 60o) (...

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  9. Evaluate each of the following: (sin60o)/(cos^2 45o)-cot30o+15cos90...

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  10. Show that: 2(cos^2 45o+tan^2 60o)-6(sin^2 45o-tan^2 30o)=6 (ii) 2...

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  11. Solve each of the following equations when 0o<theta<90o . 2costheta...

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  12. Solve each of the following equations when 0o<theta<90o . 2sin^2the...

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  13. Find the value of theta in each of the following: (i)2sin2theta=sqrt...

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  14. If A=30^@ verify that cos3A=4cos^3A-3cosA

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  15. If x=30^@ , verify that : (i) tan2x=(2tanx)/(1-tan^2x) (ii) sinx=sqr...

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  16. Verify that: sin60o=(2tan30o)/(1+tan^2 30o)=(sqrt(3))/2 (ii) cos60...

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  17. Verify that: (i) cos60^@=cos^2 30^@-sin^2 30^@=1/2 (ii) 4(sin^4 30^...

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  18. If theta is an acute angle and sintheta=costheta , find the valu...

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