Find the value of Sin²(57.37°)+ Sin²(32.63°) + cot²(65.43°). sec² (65.43°) – tan²(24.57°)

Find the value of Sin²(57.37°)+ Sin²(32.63°) + cot²(65.43°). sec² (65.43°) - tan²(24.57°)

Find the value of Sin²(57.37°)+ Sin²(32.63°) + cot²(65.43°). sec² (65.43°) – tan²(24.57°)

(a)          0

(b)          1

(c)           -1

(d)          2

Sol:

sin²A + Sin²B = 1 [ when A + B = 90°]

1+cosec ²(65.43°) – cot²(65.43°)

=1+1

=2

Gkseries: Gkseries.com is a premier website to provide complete solution for online preparation of different competitive exams like UPSC, SBI PO, SBI clerical, PCS, IPS, IAS, IBPS PO, IBPS Clerical exam etc. & other graduate and post-graduate exams. Learn more on about us page