The value of ORThe Value of (1+tan2θ) (1–sin θ) (1+sin θ) = _____.

∵ sin2θ + cos2θ = 1OR(sec2θ)(1 – sin2θ)= sec2θ × cos2θ

Q13 of 40 Page 1

The value of
OR

The Value of (1+tan²θ) (1–sin θ) (1+sin θ) = _____.

∵ sin²θ + cos²θ = 1

(sec²θ)(1 – sin²θ)

= sec²θ × cos²θ

ABC is an equilateral triangle of side 2a, then length of one of its altitude is____.

In Fig. 1, ΔABC is circumscribing a circle, the length of BC is____cm.

ABC and BDE are two equilateral triangles such the D is the mid-point of BC. Ratio of the areas of triangles ABC and ADE is____.