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Prove that :(tan69^@+tan 66^@)/(1-tan 69...

Prove that `:(tan69^@+tan 66^@)/(1-tan 69^@tan66^@)=-1`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
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  2. Prove that: sin((3pi)/8-5)cos( pi/8+5)+cos((3pi)/8-5)sin(pi/8+5)=1

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  3. Prove that :(tan69^@+tan 66^@)/(1-tan 69^@tan66^@)=-1

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  4. If tanA=5/6 and tanB=1/(11),\ p rov e\ t h a t\ A+B=pi/4

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  5. If tanA=m/(m-1)\ a n d tanB=1/(2m-1), then prove that A-B=\ pi/4

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  13. Prove that: ("tan"(A+B))/("cot"(A-B))=\ (tan^2A-tan^2B)/(1-tan^2Atan^2...

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  14. If tan A= xtanB then prove that sin(A-B)/sin(A+B)=(x-1)/(x+1)

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  15. If tan(A+B)=x and tan(A-B)=y then find the values of tan2A and tan2B

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  16. If cos A+sin B=m and sin A+cos B=n , prove that 2sin(A+B)=m^2+n^2-2.

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  17. If tan A+tan B=a and cot A+cot B=b , prove that: cot(A+B)=1/a-1/b

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  18. If sin(alpha+beta)=1 and sin(alpha-beta)=1/2, where 0lt=alpha, betalt=...

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