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Prove that... √sec²Ø + cosec²Ø = …

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Prove that...
√sec²Ø + cosec²Ø = tanØ + CotØ

Posted by ♛ ❝Ѕυнαɴα❞ ♛ 5 years, 11 months ago

CBSE > Class 10 > Mathematics

3 answers

Diksha? 5 years, 11 months ago

0Thank You

Aadya Singh ? 5 years, 11 months ago

Sorry...last se 2nd wali ye hogi...√(tan theta +cot theta)²

2Thank You

Aadya Singh ? 5 years, 11 months ago

LHS - √sec²theta + cosec²theta
=> √(1+tan²theta)+(1+cot²theta)
=> √(tan²theta + cot²theta + 2)
=> √(tan²theta + cot²theta + 2×tan theta × 1/tan theta)
=> √(tan²theta + cot²theta + 2×tan theta × cot theta)
=> √(tan²theta + cot²theta)²
=> tan theta + cot theta
Now, LHS = RHS...So, it's prove..

2Thank You

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CBSE > Class 10 > Mathematics