Question
Download Solution PDF1 / (cosec 2 53) + sin 2 37 + tan 2 53 - 1 / (sin 2 53 sec 2 37) = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFഉപയോഗിച്ച ആശയം:
cosecθ = 1/sinθ
1 + cot2θ = cosec2θ
കണക്കുകൂട്ടൽ:
1/(cosec253
) + sin237 + tan253 – 1/(sin253sec237)
⇒ sin253° + sin2(90° – 53°) + tan2(90° – 37°) – 1/(sin2(90° – 37°) sec237)
⇒ sin253° + cos253° + cot237° – 1/(cos237 sec237)
⇒ 1 + cot237° – 1
⇒ cot237°
⇒ cosec2 37° – 1
∴ ശരിയായ ഉത്തരം cosec2 37° – 1 ആണ്.
Last updated on Jun 13, 2025
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