JEE Main Mathematics: Trigonometry Practice Questions

12 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$What is the value of sin squared 30 degrees plus cos squared 30 degrees?$
Easy
Q2.
$If tan theta equals 1, what is the value of theta where theta is between 0 and 90 degrees?$
Easy
Q3.
$What is the value of sin 180 degrees?$
Easy
Q4.
$What is the value of cos 90 degrees?$
Easy
Q5.
$Which of the following is equivalent to cosec theta?$
Easy
Q6.
$The value of tan(20 degrees) + tan(40 degrees) + sqrt(3)tan(20 degrees)tan(40 degrees) is equal to$
Medium
Q7.
$If the equation sin(x) + cos(x) = k has a real solution for x, then the range of k is$
Medium
Q8.
$The number of solutions of the equation tan(x) + sec(x) = 2cos(x) in the interval [0, 2*pi] is$
Medium
Q9.
$If 3sin(x) + 4cos(x) = 5, then the value of 4sin(x) - 3cos(x) is$
Medium
Q10.
$T h e v a l u eo f t h es u m o f t h eser i ess u m f r o mn = 1 t o in f ini t y o f a r c t an (1/ (n^{2} + n + 1)) i s$
Hard
Q11.
$I f t an (t h e t a /2) = csc (t h e t a) - s in (t h e t a), t h e n t h e v a l u eo f t a n^{2} (t h e t a /2) i s$
Hard
Q12.
$If cos(alpha) + cos(beta) + cos(gamma) = 0 and sin(alpha) + sin(beta) + sin(gamma) = 0, then the value of cos(2*alpha) + cos(2*beta) + cos(2*gamma) is$
Hard

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