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Step by step text solution for If A +B = 90, prove that (cos A + cos B)/(sin A+ sinB)=1. by MATHS experts to help you in doubts & scoring excellent marks in Class 10 exams.
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KALYANI PUBLICATION-Complementary Angles and there Trigonamytry Ratios-EXERCISE
- Prove that: tan 35° tan 40° tan 45° tan 50° tan 55° = 1.
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- Prove that: cosec (65° + theta) - sec (25° - theta) - tan (55° - the...
03:29
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- Prove that: (2 sin 68°)/(cos 22°)-( 2 cot 15°)/( 5 tan 75°)- 3( tan ...
04:00
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- Prove that: (cos^2 20° + cos^2 70°)/(sin^2 20° + sin^2 70°) +sin^2 6...
03:55
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- Prove that: (tan 50° + sec 50°)/(cot 40° + cosec 40°) + cos 40° cose...
03:30
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- In a ∆ ABC prove that sin( (A+B)/2) = COS (c/2).
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- In a ∆ ABC prove that cos ((A+B)/2) = sin (c/2).
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- In a ∆ ABC prove that tan( (A+B)/2) = cot( C/2).
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- In a ∆ ABC prove that sec^2 (B+C)/2 -1=cot^2 A/2.
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- If A +B = 90, prove that (cos A + cos B)/(sin A+ sinB)=1.
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- If A +B = 90, prove that (tan A + cosec B)^2=(1+sin A)/(1- cos B).
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- If A +B = 90, prove that (sin A- sin B)^2 = 1-2 sin A cos A.
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- If A +B = 90, prove that cos A = sqrt (cos A/sin B - sin A cos B).
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- If A +B = 90, prove that 1+ tan A/tan B + sin^2 A+ sin^2 B = 1+ sec^...
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- If sinA =cosB, then show that A+B=90.
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- If sintheta +costheta =p and sectheta+cosectheta=q, show that q(p^2 ...
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- If sectheta =sqrt(p^2+q^2)/q, then the value of (p sintheta-q costhet...
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- Express cos 75° + cot 75° in terms of angle between 0° and 30°.
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- Express sin 81° + tan 81° in terms of angle between 0° and 45°.
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- Express tan 15° + cos 15° in terms of angle between 45° and 90°.
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