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If pi<alpha<(3pi)/2,t h e nsqrt((1-cosal...

If `pi

A

`2 csc alpha`

B

`-2 csc alpha`

C

`csc alpha`

D

`-csc alpha`

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The correct Answer is:
B
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If sin2x + sin x = 0, then x is (A) n pi + (pi) / (3), 2n pi + (pi) / (6) (B) n pi, n pi + (- 1) ^ (n) ( pi) / (3) (C) n pi, 2n pi + 2 (pi) / (3), 2n pi-2 (pi) / (3) (D) 2n pi, n pi + 2 (pi) / ( 3)

pi/4 + pi - pi/3 - pi/6

The possible values of theta in (0, pi) such that sin (theta) + sin (4 theta) + sin (7 theta) = 0 are (1) (2 pi) / (9), (i) / (4 ), (4 pi) / (9), (pi) / (2), (3 pi) / (4), (8 pi) / (9) (2) (pi) / (4), (5 pi ) / (12), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9) (3) (2 pi) / (9 pi) ), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (35 pi) / (36) (4) (2 pi ) / (9), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9)

lim_ (x rarr pi) ((sin (pi-x)) / (pi (pi-x)))

lim_(x rarr pi)(sin(pi-x))/(pi(pi-x))

(pi)/(4)-(3 pi)/(4)-(pi)/(6)+(pi)/(4)=

Range of tan^(-1)((2x)/(1+x^(2))) is (a) [-(pi)/(4),(pi)/(4)] (b) (-(pi)/(2),(pi)/(2))(c)(-(pi)/(2),(pi)/(4)) (d) [(pi)/(4),(pi)/(2)]

The polar form of (i^(255))^(3) is (cos pi)/(2)+i(sin pi)/(2)bcos pi+is in pi c*cos pi-i sin pi d(cos pi)/(2)-is in(pi)/(2)

((pi)/(4))+((2 pi)/(3))-((pi)/(6))

(pi)/(4)+(2 pi)/(3)-(pi)/(6)

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. If A ,B ,C ,D are angles of a cyclic quadrilateral, then prove that co...

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  2. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , then show that (tanx)/(tany)=(...

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  3. If pi<alpha<(3pi)/2,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cos...

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  4. If cot (alpha + beta) = 0, then sin (alpha + 2 beta) is equal to

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  5. If : csc theta - cot theta = p, "then" : csc theta= A)theta + (1)/(p) ...

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  6. If : cos theta(1) = 2 * cos theta(2), ltbr gt "then" (tan""(theta(1)-t...

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  7. If y=(1+t a n A)(1-t a n B), where A-B=pi/4, then (y+1)^(y-1) is equal...

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  8. If : cos^(2) A + cos^(2) B + cos^(2) C = 1, "then" : Delta ABC is A)...

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  9. If : sec 2 theta = p + tan 2 theta, "then" : sin^(2) theta= A)(p - 1 )...

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  10. If : sin theta = (a^(2)-b^(2))/(a^(2)+b^(2)), "then" : cot theta= A)(4...

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  11. If : cot theta = (2x(x+1))/(2x+1), "then" : cos theta = A)(2x + 1 )/(2...

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  12. If : 2(sin^(6) theta + cos^(6) theta) + 1 =3 (sin^(n) theta + cos^(n) ...

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  13. If : 1+4p^(2) = 4p * sec theta, "then" : sec theta + tan theta= A)pm 2...

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  14. If sec theta-tan theta=x and sectheta+tan theta=1/x then sinf sin thet...

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  15. If : asec^(2) theta - b * tan^(2) theta = c,"then" = sin theta =A)sqrt...

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  16. If : a * cos A-b * sin A=c, "then" : a * sin A +b* cos A=A)sqrt(a^(2)...

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  17. if tanx=b/a then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

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  18. If A,B,C are in A.P then (sinA-sinC)/(cosC-cosA)=

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  19. If costheta=1/2(x+1/x) then 1/2(x^2+1/x^2)=

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  20. If : sin (alpha + beta)=1 and sin (alpha-beta)=(1)/(2), "then" : tan ...

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