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If tan theta = sqrt2-1 then tan (2theta)...

If `tan theta = sqrt2-1` then tan `(2theta)=1` .

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If tan theta +sin theta = p and tan theta-sin theta = q , prove that p^(2)-q^(2)=4sqrt(pq)

If tantheta - tan^(2) theta = 1 , then tan^(4) theta-2tan^3theta-tan^2theta+2tantheta+1 has value 4.

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

If tan theta=(1)/sqrt(5) and theta lies in the first quadrant, the value of cos theta is :

By using above basic addition/ subtraction formulae, prove that (i) tan (A+B)=(tan A+tan B)/(1-tan A tan B) , (ii) tan (A-B)=(tan A-tanB)/(1+tan A tan B) (iii) sin2theta=2sintheta costheta , (iv) cos2theta=cos^(2)theta=1-2sin^(2)theta=2cos^(2)theta-1 (v) tan 2theta=(2 tan theta)/(1-tan^(2) theta)

If sin theta=-(1)/(2) and tan theta=(1)/sqrt(3) then theta is equal to :-

theta_(1),theta_(2)in[0,2pi]andtheta_(1) and theta_(2) satisfy the equation tantheta=1 then tan((theta_(1))/(2)).tan((theta_(2))/(2))= ………….

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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Trigonometric Functions (True /False Statement)
  1. Value of the rotation of point P on unit circle increase in multiple o...

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  2. If tan theta = 3 and theta is in third quadrant then sin theta = 3/sq...

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  3. sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta has val...

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  4. Point of intersection of the graph of sine function with X - axis has ...

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  5. If f(x)=cos^(2)x+sec^(2)x, then

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  6. "cosec" theta =1/2

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  7. tan(20^@) gt tan(120^(@))

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  8. If 0 lt theta lt (pi)/2 and 5 tan theta = 4 then (5 sin theta - 3 cos ...

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  9. If "cosec" theta + cot theta = (13)/5 then cot^(2) theta - "cosec"^(2)...

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  10. cos(2pi -x) cos (-x) - sin(2pi +x) sin (-x) = 0

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  11. 3sin(pi/9) - 4sin^(3)(pi/9) = .......

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  12. sintheta = (3)/5 , (pi)/2 lt theta lt pi sin2theta = (-12)/25

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  13. If tan theta = sqrt2-1 then tan (2theta)=1 .

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  14. If in two circles, arcs of the same length subtend angles 60^(@)and75^...

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  15. If x + y = (2pi)/3 then equation cosx +cosy = 3/2 has empty solution s...

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  16. If tantheta - tan^(2) theta = 1 , then tan^(4) theta-2tan^3theta-tan^2...

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  17. The number of solutions of equation tanx+secx=2cosx lying in the inter...

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  18. If tantheta=(1)/(2)andtanphi=(1)/(3), then the value of theta+phi is

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  19. f(x) = 3 cos x + 4 sin x + 8 has minimum value 19.

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  20. If in DeltaABC a = 9 , b = 7 and sinA = 3/4 then DeltaABC is right an...

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