Trying to find the right answer to this..

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Introduction to Trigonometry

Long Answer Type

261. If cosec θ – sin θ = m and sec θ – cos θ = n, prove that (m²n)^2/3 + (mn²)^2/3 = 1.

99 Views

262. If tan θ + sin θ = m and tan θ – sin θ = n, show that

straight m squared minus straight n squared space equals space 4 square root of mn.

63 Views

263. If x = a sec θ + b tan θ, y = a tan θ + b sec θ, prove that x² – y² = a²– b².

96 Views

264. If x sec θ – y tan θ = l, x tan θ – y sec θ = m, then prove that x² – y² = l² – m².

82 Views

265.

If $straight x over straight a cos space straight theta space plus space straight y over straight b sinθ space equals space 1$ and $straight x over straight a sinθ space minus space straight y over straight b cosθ space equals space 1 comma$ Prove that $straight x squared over straight a squared plus straight y squared over straight b squared equals 2.$

85 Views

Short Answer Type

266.

If $straight x equals acos cubed straight theta comma space space straight y equals bsin cubed straight theta comma$ prove that $open parentheses straight x over straight a close parentheses to the power of 2 divided by 3 end exponent plus open parentheses straight y over straight b close parentheses to the power of 2 divided by 3 end exponent space equals space 1.$