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Find the value of the following without using a table: tan 30° × tan 60° + cos 0° + sec 60° - Mathematics

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प्रश्न

Find the value of the following without using a table:

tan 30° × tan 60° + cos 0° + sec 60°

योग
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उत्तर

Given:

tan 30° × tan 60° + cos 0° + sec 60°

Step 1:

`tan 30° = 1/sqrt3, tan 60° = sqrt3

cos 0° = 1, sec 60° = 2`

Step 2:

tan 30° × tan 60°

= `1/sqrt3 × sqrt3 = 1.`

1+ 1 + 2 = 4 

tan 30° × tan 60° + cos 0° + sec 60° = 4

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अध्याय 19: Trigonometry - MISCELLANEOUS EXERCISE [पृष्ठ २३९]

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बी निर्मला शास्त्री Mathematics [English] Class 9 ICSE
अध्याय 19 Trigonometry
MISCELLANEOUS EXERCISE | Q I. 1. | पृष्ठ २३९
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