Math, asked by rohitmehrotra00, 6 months ago

sec square theta minus cos square /ø equal to sin square ø + tan square theta​

Answers

Answered by jakbattu
1

Step-by-step explanation:

According to trigonometric identities,

sin² A + cos² A = 1

here A is considered as ø

=> sin² ø + cos² ø = 1 ---------- (1)

And sec² A - tan² A = 1

here A is considered as theta

=> sec² theta - tan² theta = 1 ------------- (2)

From (1) & (2)

sin² ø + cos² ø = sec² theta - tan² theta

=> sin² ø + tan² theta = sec² theta - cos² ø

Hence proved

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