SSC CGL Exam  >  SSC CGL Questions  >  If x sin3 θ + y cos3 θ = sin &the... Start Learning for Free
If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is        (SSC CGL 1st Sit. 2012)
  • a)
    1/√2
  • b)
    1/2
  • c)
    1
  • d)
    √2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If x sin3 θ + y cos3 θ = sin θ cos θ and x sin...
x sin3θ + y cos3θ = sinθ.cosθ
=> (x sinθ). sin2θ + (y cosθ) cos2θ = sinθ.cosθ
=> xsinθ . sin2θ + xsinθ . cos2θ = sinθ . cosθ
=> x sinθ (sin2θ + cos2θ) = sinθ . cosθ
=> x = cosθ
now, x sinθ = y cosθ
=> cosθ . sinθ = y cosθ
=> y = sinθ
x2 + y2 = cos2θ + sin2θ = 1
View all questions of this test
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer?
Question Description
If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer?.
Solutions for If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, sin θ ≠ 0, cos θ ≠ 0, then x2 + y2 is (SSC CGL 1st Sit. 2012)a)1/√2b)1/2c)1d)√2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev