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If θ < 90°, find the value of: tan 2 θ − 1 cos 2 θ - Mathematics

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Question

If θ < 90°, find the value of: `tan^2θ - (1)/cos^2θ`

Sum

Solution

Since θ <90°,
Consider θ = 45°

∴ `tan^2 θ - (1)/cos^2θ`

= `tan^2 45° - (1)/(cos^2 45°)`

= `(1)^2 - (1)/(1/sqrt(2))^2`

= `1 - (1)/(1/2)`

= 1 - 2
= -1.

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Trigonometric Equation Problem and Solution
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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 19.2
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