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Maharashtra State BoardSSC (English Medium) 10th Standard

If tan θ = 724, then to find value of cos θ complete the activity given below. Activity: sec2θ = 1 + □ ......[Fundamental tri. identity] sec2θ = 1 + □2 sec2θ = 1 + □576 sec2θ = □576 sec θ = □ cos θ - Geometry Mathematics 2

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Question

If tan θ = `7/24`, then to find value of cos θ complete the activity given below.

Activity:

sec2θ = 1 + `square`    ......[Fundamental tri. identity]

sec2θ = 1 + `square^2`

sec2θ = 1 + `square/576`

sec2θ = `square/576`

sec θ = `square` 

cos θ = `square`     .......`[cos theta = 1/sectheta]`

Fill in the Blanks
Sum
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Solution

sec2θ = 1 + tan2θ    ......[Fundamental tri. identity]

∴ sec2θ = 1 + `(7/24)^2`

∴ sec2θ = 1 + `49/576`

∴ sec2θ =`(576 + 49)/576`

∴ sec2θ = `625/576`

∴ sec θ = `25/24`

∴ cos θ = `24/25`     .......`[cos theta = 1/sectheta]`

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Chapter 6: Trigonometry - Q.3 (A)

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