plss help me solve these 2 questions:
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harishdevkishan:
Pls guys....help me....I need it soon
The one who will ans it correctly....a thanks advance from me and will marked as the brainliest
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1) secx = m² + n² /2mn
cosx = 2mn/ m² + n² sinx = m-n / m²+n²
tanx = m-n/2mn
√1 + sinx / √1- sinx = rationalizing ==== √(1+sinx)²/√1 - sin²x
⇒ (1+sinx)/ cosx ===== secx + tanx ======= m² + n² +m - n /2mn
2) just put x = 60°
sin60/sec60 + tan60 -1 + cos60 / cosec60 + cot60 - 1
⇒ √3/2 / 2 + √3 - 1 + 1/2 / 2/√3 + 1/√3 -1
⇒ √3/2 / 1 + √3 + 1/2 / √3 - 1
⇒ √3(√3 - 1) + 1 + √3 / 2 (√3² - 1² )
⇒ 3 - √3 + 1 +√3 / 2 (3-1) = 4 / 2(2) = 1
hope u'll get it ..if doubt then ask
cosx = 2mn/ m² + n² sinx = m-n / m²+n²
tanx = m-n/2mn
√1 + sinx / √1- sinx = rationalizing ==== √(1+sinx)²/√1 - sin²x
⇒ (1+sinx)/ cosx ===== secx + tanx ======= m² + n² +m - n /2mn
2) just put x = 60°
sin60/sec60 + tan60 -1 + cos60 / cosec60 + cot60 - 1
⇒ √3/2 / 2 + √3 - 1 + 1/2 / 2/√3 + 1/√3 -1
⇒ √3/2 / 1 + √3 + 1/2 / √3 - 1
⇒ √3(√3 - 1) + 1 + √3 / 2 (√3² - 1² )
⇒ 3 - √3 + 1 +√3 / 2 (3-1) = 4 / 2(2) = 1
hope u'll get it ..if doubt then ask
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