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Sin B + tan C = ______. - Mathematics

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Question

sin B + tan C = ______.

Options

  • `1/2`

  • `17/15`

  • `4/3`

  • `3/4`

MCQ
Fill in the Blanks
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Solution

sin B + tan C = `underlinebb(4/bb3)`.

Explanation:

In △ABD, AD = `sqrt(10^2 − 6^2) = 8, sin B = 8/10 = 4/5`

In △ADC, tan⁡ C = `(AD)/(DC) = 8/15`

sin B + tan C = `4/5 + 8/15`

= `4/3`

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Chapter 19: Trigonometry - MULTIPLE CHOICE QUESTIONS. [Page 238]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 19 Trigonometry
MULTIPLE CHOICE QUESTIONS. | Q 13. | Page 238
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