If sin x = − 5 3 , where π < x < 2 3 π , then 80 ( tan 2 x − cos x ) is equal to

sin x = 5 − 3 , π < x < 2 3 π tan x = 4 3 cos x = − 5 4 80 ( tan 2 x − cos x ) = 80 ( 16 9 + 5 4 ) = 45 + 64 = 109

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MathematicsTrigonometric Ratios & IdentitiesBasic Identities & T RatiosEasy2 minPYQ_2024

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If $sin x = - \frac{3}{5}$ , where $π < x < \frac{3 π}{2}$ , then $80 (tan^{2} x - cos x)$ is equal to

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$sin x = \frac{- 3}{5}, π < x < \frac{3 π}{2} tan x = \frac{3}{4} cos x = - \frac{4}{5} 80 (tan^{2} x - cos x) = 80 (\frac{9}{16} + \frac{4}{5}) = 45 + 64 = 109$

Stream:JEESubject:MathematicsTopic:Trigonometric Ratios & IdentitiesSubtopic:Basic Identities & T Ratios

⏱ 2mℹ️ Source: PYQ_2024

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