Math, asked by tripti53, 1 year ago

what is the value of (sec²67° - cot²23°)

Answers

Answered by Awesome98
2

SOLUTION :


Trigonometry Identity and Ratio !


✏ Cosec² θ- Cot ²θ= 1


✏ Sec²θ - tan² θ= 1


✏ Sec (90-θ) = Cosec θ


✏ tan²θ = Sec²(90-θ)

Now, According to the Question!

✒ sec²67° - cot²23°

✒ Sec²67° - Cot²(90-67° )

✒ Sec²67° - tan²67°

✒ 1 [ •°• Sec²θ - tan²θ ]


Therefore, Value of sec²67° - cot²23° is 1.

Awesome98: :)
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