Question

cosec² 57° – tan² 33° = ?

Options

• 1

• 0

• –1

• 2

Answer 1

1

Explanation:

Given expression = cosec² 57° – tan²(90° – 57°)

= cosec² 57° – cot² 57°   ...[∵ cosec²θ – cot²θ = 1]

= 1