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Evaluate the following: i) cos120^(@)s...

Evaluate the following:
i) `cos120^(@)sin390^(@)+cos330^(@)cos150^(@)`
ii) `sin^(2)(3pi)/(4)+cos^(2)pi/4+sec^(2)pi/3`

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i) `-1` , ii) 5
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NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3C
  1. If sinA=-3/5 and A lies in third quadrant, find the remaining trignome...

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  2. If cosA=5/13 and A lies in fourth quadrant, find the remaining trigno...

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  3. If tanA=-12/5 and A lies in second quadrant, find the remaining trigno...

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  4. If cotA=4/3 and A lies in third quadrant, find the remaining trignomet...

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  5. If secA=-17/8 and A lies in second quadrant, find the remaining trigno...

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  6. If "cosec"A=5/4 and A lies in first quadrant, find the remaining trign...

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  7. If "cosec"A=-sqrt(2) and (3pi)/(2) lt A lt 2pi, find the value of (tan...

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  8. If secA=-2 and A lies in third quadrant, find the value of (4 cot^(2)A...

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  9. Prove that: sqrt((1+cosA)/(1-cosA))={:("cosec"A+cotA, if 0ltAltpi),(...

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  10. Evaluate the following: i) tan135^(@) ii) sec150^(@) iii) cot240...

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  11. Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

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  12. Prove that: (cos40^(@)+cos50^(@))/(sin40^(@)+sin50^(@))=1

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  13. Prove that: "cosec"(270^(@)-A)"cosec"(270^(@)+A)+cot(270^(@)-A)cot(2...

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  14. Prove that: sin ((pi)/(7))+sin((2pi)/(7)) + sin((8pi)/(7)) + sin((9p...

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  15. Evaluate the following: i) cos120^(@)sin390^(@)+cos330^(@)cos150^(@)...

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  16. Prove that: (cos(pi+A)cos(-A))/(sin(pi-A).cos(pi/2+A))=cot^(2)A

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  17. In any quadrilateral ABCD, prove that: i) sin(A+B)+sin(C+D)=0 ii) ...

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  18. Find the value of x: "cosec"(90^(@)+theta)+x costhetacot(90^(@)+theta)...

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