What is the value of sin-¹(sin 6)?
We can see that complete solution: write formula, plug data, do arithmetic. Final value matches -2π + 6. Simple and accurate.
Ref: NCERT Mathematics Class XI — Trigonometry
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[-1, 1] is the domain for which of the following inverse trigonometric functions?
Simply put, after simplifying, sin-¹x is left. The method is simple: formula → substitution → calculation → answer.
Ref: NCERT Mathematics Class XI — Sets, Relations and Functions
sin-¹x in terms of cos-¹ is _________
In easy words, complete solution: write formula, plug data, do arithmetic. Final value matches cos-¹ √1 - x². Simple and accurate.
Ref: NCERT Mathematics Class XI — Trigonometry
Simplest form of cos - ¹x + sin - ¹(1/2 x) = π/6?
Recall the rule using formula we get 1. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 1.
Ref: NCERT Mathematics Class XI — Trigonometry
The function y = sin x is invertible for which of the values of x?
Look at it this way: we verify [ - /2, /2 ] by full calculation: use standard identity, substitute, simplify step by step to reach [ - /2, /2 ].
Ref: NCERT Mathematics Class XI — Trigonometry
