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In triangle ABC, right angled at B, if ...

In triangle ABC, right angled at B, if tan A = `1/sqrt3` . Find the value of :- cos A cos C -sin A sin C.

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The correct Answer is:
`(sqrt(3))/(2)`
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NAND LAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-Exercise 8.4
  1. In triangle ABC, right angled at B, if tan A = 1/sqrt3 . Find the val...

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  2. Express the trigonometric ratios sin A, sec A and tan A In terms of co...

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  3. Write all the other trigonometric ratios of angle A in terms of sec A.

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  4. Evaluate :- (sin^2 63^@+sin^2 27^@)/(cos^2 17^@+cos^2 73^@) .

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  5. Evaluate: sin 25^@ cos 65^@ + cos 25^@ sin 65^@

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  6. Choose the coorect option. Justify choice : 9 sec^(2)A - 9 tan^(2)A ...

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  7. Choose the coorect option. Justify choice : (1+ tan theta + sec thet...

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  8. Choose the correct option. Justify your choice : (sec A + tan A) (1-...

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  9. Choose the correct option. Justify your choice : (1+tan^2A)/(1+cot^2A...

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  10. Prove the following identities, where the angles involved are acute an...

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  11. Prove the following identities, where the angles involved are acute an...

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  12. Prove the following identity : (tan theta)/(1-cot theta)+ (cot theta...

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  13. Prove the following identities, where the angles involved are acute an...

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  14. Prove the following identities, where the angles involved are acute an...

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  15. Prove the following identities, where the angles involved are acute an...

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  16. Prove that the following identities, where the angles involved are acu...

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  17. Prove the following identities, where the angles involved are acute an...

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  18. Prove the following identities, where the angles involved are acute an...

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  19. Prove the following identities, where the angles involved are acute an...

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