Question
Download Solution PDFयदि 3 sin-1 x + cos-1 x = π है तो x किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
sin-1 x + cos-1 x = π/2, x ∈ [-1, 1]
गणना:
दिया हुआ: 3 sin-1 x + cos-1 x = π
⇒ 3 sin-1 x + cos-1 x = 2 sin-1 x + [sin-1 x + cos-1 x] = π
जैसा कि हम जानते हैं कि, sin-1 x + cos-1 x = π/2, x ∈ [-1, 1]
⇒ 2 sin-1 x + [
⇒ 2 sin-1 x = π -
⇒ 2 sin-1 x =
⇒ sin-1 x =
∴ x = sin
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