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Simplify: (i) (cos theta)/(sin (90^@ +...

Simplify:
(i) `(cos theta)/(sin (90^@ + theta)) + (sin (-theta))/(sin(180^(@) + theta)) - (tan(90^(@)+theta))/(cot theta)`

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CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES-EXERCISE - SHORT ANSWER TYPE QUESTIONS (4 marks)
  1. Simplify: (i) (cos theta)/(sin (90^@ + theta)) + (sin (-theta))/(sin...

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  2. Simplify: (cos(2pi + alpha)"cosec" (pi - alpha) tan (pi/2 + alpha))/...

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  3. If sin theta = -3/5 and theta lies in the third quadrant, find tan the...

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  4. If tan theta = 15/8 and cos theta is negative, find the value of (sin ...

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  5. If theta lies in the fourth quadrant and "sec" theta = 5/3 then find t...

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  6. Find the sum of n terms: sin theta + sin(pi + theta) + sin (2pi + th...

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  7. If n is an integer, prove that, (i) cos(n pi + theta) = (-1)^(n) cos...

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  8. If n is an integer, prove that, (ii) tan{(n pi)/2 + (-1)^(n) pi/4} =...

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  9. If n is an integer, prove that, (iii) sin{n pi + (-1)^(n) cdot (pi)/...

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  10. If n is an integer, prove that, (iv) tan (n pi + alpha) = tan alpha

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  11. If A,B,C are the angles of a triangle, show that, (i) sin B cos(C +A...

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  12. If A,B,C are the angles of a triangle, show that, (ii) tan ((A - B)/...

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  13. If A,B,C are the angles of a triangle, show that, (iii) (cos A cos C...

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  14. If A,B,C are the angles of a triangle, show that, (iv) (tan(B + C) +...

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  15. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

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  16. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

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  17. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

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  18. If A, B, C, D are the four angle taken in order of a cyclic quadrilate...

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  19. Prove that, tan 1^(@) tan 2^(@) tan 3^(@).....tan 87^(@) tan 88^(@) ta...

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  20. Prove that, tan^(2) (pi/6) cdot tan^(2)(2pi/16) cdot tan^(2) (3pi/16) ...

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