Question

sec30° is equal to a) cosec30° b) sin60° c) cos30° d) cot30°​

Answer 1

Answer:

sin60.cos30 + sin30.cos60

use, formula,

sin( A + B) = sinA.cosB + cosA. sinB

hence,

sin60.cos30 + sin30.cos60 = sin(30+60)

= sin90 = 1

(2) 2tan^2 45° + cos^2 30° − sin^2 60°

= 2 (1)² + (√3/2)² - (√3/2)²

= 2

(3) cos45 / (sec30 + cosec30)

= 1/√2/(2/√3 + 2 )

= √3/2√2( 1 + √3)

= √6(√3 - 1)/8

(4) (sin 30 + tan 45 - cosec 60) / (sec 30 + cos 60 + cot 45)

= (1/2 + 1 - 2/√3)/( 2/√3 + 1/2 + 1)

= (3/2 - 2/√3)/( 2/√3 + 3/2)

=(3√3 - 4)/(4 + 3√3)

(v) (5cos^2 60 + 4sec^2 30 - tan^2 45) / (sin^2 30 + cos^2 30)

= ( 5 ×1/4 + 4 × 4/3 - 1)/( 1/4 + 3/4)

= ( 5/4 + 13/3 )

= 67/12

Step-by-step explanation:

BRAINLEST PLz