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
#principal value
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The principal value of tan^-1(-3) + 2 sec^-1(2/ 3) is
Notice that using formula we get 0. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 0.
Ref: NCERT Mathematics Class XI — Trigonometry
The principle value of ^-1[(-2)]
Applying the basic concept, using formula we get 0. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 0.
Ref: NCERT Mathematics Class XI — Trigonometry
