If X sin3θ + Y cos3θ = sinθ cosθ and Xsinθ = Ycosθ, then
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If sin x + sin2x = 1, then cos8 x + 2cos6x + cos4x =_____.
If cosecθ – sinθ = l and sec θ– cosθ = m, then l2m2(l2 + m2 + 3) = ________ .
In a ΔABC, it is given that ∠C = 90° and tan A = 1/√3, find the value of (sinA cosB + cosA sinB).
Which of the following is true?
(a) cosθsinθ -
(b) If A and B are complementary angles, then sin A =
Fill in the blanks.
(i) If x = a cos3θ , y = b sin3θ then
(ii) If x = a secθ cosφ, y = b secθ sinφ and z = c tanφ, then
(iii) If cosA + cos2A = 1, then sin2A + sin4A
Which of the following is CORRECT statements?
(i) 3(sinθ – cosθ)4 + 6(sinθ + cosθ)2 + 4(sin6θ + cos6θ) is independent of θ.
(ii) If cosecθ – sinθ = a3, secθ – cosθ = b3, then a2b2(a2 + b2) = 2
13 videos|44 docs|187 tests
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13 videos|44 docs|187 tests
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