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some pretty tough trigonometry questions. enjoy.......

hemang

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Posted on
30 Aug 2011 12:01:10 IST

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30 Aug 2011 12:01:10 IST

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some pretty tough trigonometry questions. enjoy.......

AIEEE , BITSAT , IIT JEE , KIITEE , VITEEE , Mathematics , Trigonometry , academic

time limit : 30 minutes.

Q1) 6. If sin x, cos x and tan x are in G.P., then cot⁶ x –
cot² x =
(a) 0 (b) –1
(c) 1 (d) Depends on x

Q2) Minimum value of 2^{sin x}+ 2^{cos x}is equal to
(a) 2 ^{1 - root2} (b) 2 ^{1- 1 /root 2}
(c) 2^root2-1 (d) None of these

Q3) solve for minimum value of x -

tan(x+100) = tanx*tan(50+x)*tan(x-50)

Q4) find the number of values in [0,2pi] for which sin2x = cos3x has a solution.

Q5) find x if cos3x*cos³x + sin3x*sin³x = 0

Q6) find the number of solutions of sinx = x² + x + 1

Q7) find the interval in which the smallest positive root of tanx - x = 0 lies.

Q8) sin⁴x + cos⁴x = a

find the interval in which a lies for a solution.

Q9) find the least value of p for which the equation,

cos(psinx) = sin(pcosx) has a solution in the interval [0,2pi].

Q10) describe the graph of cosx*cos(x+2) - cos²(x+1).

if you appreciate these questions, like my article......

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