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Prove that 1/sin^2 O/ - cot^2 O/ = 1...

Prove that ` 1/sin^2 O/ - cot^2 O/ = 1 `

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Using the figure given of triangle ABC prove that sin^2 O/ + cos^2 O/ = 1

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VGS PUBLICATION-BRILLIANT-TRIGONOMETRY-EXERCISE
  1. Find measure of the angle A and B, if cos ( A - B ) = sqrt3/2 and sin ...

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  2. tan^(2) 60^(0) + cot^(2) 30^(0) //sin^(2) 30^(0) + cos^(2) 60^(0) విలు...

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  3. Prove that 1/sin^2 O/ - cot^2 O/ = 1

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  4. If cosec (A+B) =1 and cot (A-B) = sqrt3, 0^o < A+B < 90^o, A>B then ...

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  5. Find the value of (sec 15^o/(cosec 75^o)) + (sin 72^o/cos 18^o) - (ta...

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  6. If cot O/ = 9/12 then find the value of (sin O/ + cos O/)/(sin O/ - ...

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  7. Evaluate (tan^2 60 + 4 cos^2 45 + 3 sec^2 30 + 5 cos^2 90)/(cosec 30 ...

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  8. If sin O//(1-cos O/) + sin O//(1+cosO/) = 4 (0^o < O/ < 90^o) then ...

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  9. Prove that (1+tan^2 O/) + (1+1/tan^2 O/) = 1/(sin^2 O/ - sin^4 O/)

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  10. If cotA=5/12 then sinA+cosA = ………………

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  11. Which of the following is not possible value for sin x …………

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  12. Which of the following in NOT defined?

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  13. If sinA=24/25then cotA

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  14. If sintheta=costheta (0^0< theta<90^0) then tantheta+cottheta = ……………

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  15. If sectheta+tantheta=3 then sectheta-tantheta = …………….

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  16. In triangleABCAB=c,BC=a,AC=b and angleBAC=theta then which is not the ...

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  17. The value of tantheta in terms of cosectheta is..........................

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  18. Observe the following: (I) sin^2 20^@+sin^2 70^@=1 (II) log2(sin90^@)=...

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  19. tan36^@.tan54^@+sin30^@=.......................

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  20. If sinA=24/25, then secA=....................

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