alleryProve or evaluate: (1 + tan²A)(1 − sin²A).
Asec²A
Bsin²A
C1
D0
Answer & Solution
Correct answer: C. 1
We have (1 + tan²A) = sec²A and (1 − sin²A).
So (1 + tan²A) = cos²A.
Product = sec²A · cos²A = 1.
Keep practising Introduction to Trigonometry
Browse all Introduction to Trigonometry questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
A man on a 10 m cliff observes a boat at an angle of depression of 30 degrees. The distancA pole leans against a wall such that its tip is 24 m above ground and its foot is 7 m froThe shadow of a tower at a time t is 3 times longer than its shadow when the angle of elevA boy 1.5 m tall stands 8.5 m from a lamp post. His shadow is 4.5 m long. The height of thA ladder 15 m long makes an angle of 60 degrees with the wall. The height of the wall reacAn observer 1.5 m tall is 20.5 m away from a tower 22 m high. The angle of elevation of thA vertical pole 10 m long casts a shadow whose length is 10 (square root of 3) m. The anglA tower stands vertically on the ground. The angle of elevation of its top from a point 30