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Write the value of 4 tan^(2)theta-(4...

Write the value of ` 4 tan^(2)theta-(4)/(cos^(2)theta).`

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The correct Answer is:
-4
Given expression `=4tan^(2)theta-4sec^(2)theta=4tan^(2)theta-4(1+tan^(2)theta)= -4.`
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RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Exercise 13C
  1. Smlplify : (1+tan^(2)theta)(1-sintheta)(1+sintheta)

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  2. Write the value of 3 cot^(2)theta - 3 "cosec"^(2)theta.

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  3. Write the value of 4 tan^(2)theta-(4)/(cos^(2)theta).

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  4. Write the value of (tan^(2)theta-sec^(2)theta)/(cot^(2)theta-"cosec...

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  5. If sin theta=(1)/(2), " write the value of " (3cot^(2)theta+3).

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  6. If cos theta=(2)/(3), " write the value of " (4+ 4 tan^(2)theta).

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  7. If cos theta=(7)/(25), " write the value of " (tan theta + cot theta)...

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  8. If cos theta = (2)/(3), " write the value of " ((sectheta-1))/((secth...

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  9. If 5 tan theta =4, " write the value of " ((costheta- sintheta ))/((c...

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  10. If 3 cot theta =4, " write the value of " ((2costheta+ sintheta ))...

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  11. If cottheta=1/(sqrt(3)) , show that (1-cos^2theta)/(2-sin^2theta)=3...

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  12. If tan theta =(1)/(sqrt(5)), " write the value of " (("cosec"^(2)th...

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  13. If cot A =(4)/(3) and (A+B)=90^(@), what is the value of tan B?

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  14. If A+B=90o and cosB=3/5 , what is the value of sinA ?

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  15. If sqrt(3) sin theta = cos theta and theta" is an acute angle, find ...

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  16. The value of tan 10^(@)* tan20^(@)*tan45^(@)*tan70^(@)*tan80^(@)=

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  17. The value of tan1^@ tan 2^@ tan 3^@ ... tan 89^@ is

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  18. Write the value of cos 1^(@) cos 2^(@) … cos 180^(@).

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  19. If tan A=5/12, find the value of (sin A+cos A) sec A

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  20. If sin theta = cos (theta - 45^(@)), " where " theta " is acute, fin...

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