Question

Find the value of the following without using tables:
1. tan 30° ×tan 60° + cos 0° + sec 60°
2. sin² 30° + cos² 60° + cosec 30°

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Answer 1

Answer:

1.4

2.5/2

Step-by-step explanation:

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Answer 2

Answer

1) tan30° * tan60°+cos0°+sec60°

= 1/√3*√3 + 1 + 2

= 1+1+2

= 4

2) sin(30°)^2 +cos(60°)^2+cosec(30°)

= (1/2)^2 + (1/2)^2 + 2

= 1/4+1/4+2

= (1+1+8)/4

= 10/4

= 5/2