Q42 of 42 Page 193

Express all the trigonometric ratios in terms of tan θ.

Now, we know 1 + tan2 θ = sec2 θ


∴ we can write


Now,



Also, we know,








Now,



Also,


.


∴ All trigonometric ratios have been expressed in terms of tanθ.


More from this chapter

All 42 →
38

If m sin θ + r cos θ = p and m cos θ – n sin θ = q, then prove that m2 + n2 = p2 + q2.

 39

If 3 x = sec θ and find the value of .

 40

If cos x + sin x = √2 cos x then prove that cos x – sin x = √2 sin x.

 41

If 3 x = cosec θ and find value of .