Given below are two statements. STATEMENT - 1: If cosec - = a ^ 3 and - =b^ 3 then a^ 2…
Mathematics · JEE Main · NTA Exams — Trigonometry
Given below are two statements.
STATEMENT - 1: If \(\operatorname{cosec} \theta-\sin \theta=\mathrm{a}^{3}\) and \(\sec \theta-\cos \theta=b^{3}\) then \(a^{2} b^{2}\left[a^{2}+b^{2}\right]=1 .\)
STATEMENT - 2: \(\sin ^{2} \theta+\cos ^{2} \theta=1\)
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation for Statement - 1
- Statement - 1 is false and Statement - 2 is true
- Statement - 1 is true and Statement - 2 is false
Answer
(A) Both the statements are true and Statement - 2 is the correct explanation for Statement - 1
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